1. CLASSIFYING POLYNOMIALS

2. Today’s Objectives:  Classify a polynomial by it’s degree.  Classify a polynomial by it’s number of terms  “Name” a polynomial by it’s “first and last names” determined by it’s degree and number of terms.

3. Degree of a Polynomial The degree of a polynomial is calculated by finding the largest exponent in the polynomial.

4. Degree of a Polynomial (Each degree has a special “name”) 9

5. 9 No variable

6. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant

7. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x

8. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degree

9. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear

10. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x

11. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degree

12. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic

13. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic 6x 3 – 2x

14. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic 6x 3 – 2x 3 rd degree

15. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic 6x 3 – 2x 3 rd degreeCubic

16. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic 6x 3 – 2x 3 rd degreeCubic 3x 4 + 5x – 1

17. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic 6x 3 – 2x 3 rd degreeCubic 3x 4 + 5x – 1 4 th degree

18. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic 6x 3 – 2x 3 rd degreeCubic 3x 4 + 5x – 1 4 th degreeQuartic

19. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic 6x 3 – 2x 3 rd degreeCubic 3x 4 + 5x – 1 4 th degreeQuartic 2x 5 + 7x 3

20. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic 6x 3 – 2x 3 rd degreeCubic 3x 4 + 5x – 1 4 th degreeQuartic 2x 5 + 7x 3 5 th degree

21. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic 6x 3 – 2x 3 rd degreeCubic 3x 4 + 5x – 1 4 th degreeQuartic 2x 5 + 7x 3 5 th degreeQuintic

22. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic 6x 3 – 2x 3 rd degreeCubic 3x 4 + 5x – 1 4 th degreeQuartic 2x 5 + 7x 3 5 th degreeQuintic 5x n

23. Degree of a Polynomial (Each degree has a special “name”) 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic 6x 3 – 2x 3 rd degreeCubic 3x 4 + 5x – 1 4 th degreeQuartic 2x 5 + 7x 3 5 th degreeQuintic 5x n “nth” degree

24. 9 No variableConstant 8x 1 st degreeLinear 7x 2 + 3x 2 nd degreeQuadratic 6x 3 – 2x 3 rd degreeCubic 3x 4 + 5x – 1 4 th degreeQuartic 2x 5 + 7x 3 5 th degreeQuintic 5x n “nth” degree Degree of a Polynomial (Each degree has a special “name”)

25. Let’s practice classifying polynomials by “degree”. POLYNOMIAL 1.3z 4 + 5z 3 – 7 2.15a + 25 3.185 4.2c 10 – 7c 6 + 4c 3 - 9 5.2f 3 – 7f 2 + 1 6.15y 2 7.9g 4 – 3g + 5 8.10r 5 –7r 9.16n 7 + 6n 4 – 3n 2 DEGREE NAME 1.Quartic 2.Linear 3.Constant 4.Tenth degree 5.Cubic 6.Quadratic 7.Quartic 8.Quintic 9.Seventh degree The degree name becomes the “first name” of the polynomial.

26. Naming Polynomials (by number of terms)

27. One term

28. Naming Polynomials (by number of terms) One termMonomial

29. Naming Polynomials (by number of terms) One termMonomial

30. Naming Polynomials (by number of terms) One termMonomial Two terms

31. Naming Polynomials (by number of terms) One termMonomial Two termsBinomial

32. Naming Polynomials (by number of terms) One termMonomial Two termsBinomial

33. Naming Polynomials (by number of terms) One termMonomial Two termsBinomial Three terms

34. Naming Polynomials (by number of terms) One termMonomial Two termsBinomial Three termsTrinomial

35. Naming Polynomials (by number of terms) One termMonomial Two termsBinomial Three termsTrinomial

36. Naming Polynomials (by number of terms) One termMonomial Two termsBinomial Three termsTrinomial Four (or more) terms

37. Naming Polynomials (by number of terms) One termMonomial Two termsBinomial Three termsTrinomial Four (or more) terms Polynomial with 4 (or more) terms

38. Classifying (or Naming) a Polynomial by Number of Terms 25

39. Classifying (or Naming) a Polynomial by Number of Terms 251 term

40. Classifying (or Naming) a Polynomial by Number of Terms 251 termMonomial

41. Classifying (or Naming) a Polynomial by Number of Terms 251 termMonomial 15h

42. Classifying (or Naming) a Polynomial by Number of Terms 251 termMonomial 15h1 term

43. Classifying (or Naming) a Polynomial by Number of Terms 251 termMonomial 15h1 termMonomial

44. Classifying (or Naming) a Polynomial by Number of Terms 251 termMonomial 15h1 termMonomial 25h 3 + 7

45. Classifying (or Naming) a Polynomial by Number of Terms 251 termMonomial 15h1 termMonomial 25h 3 + 72 terms

46. Classifying (or Naming) a Polynomial by Number of Terms 251 termMonomial 15h1 termMonomial 25h 3 + 72 termsBinomial

47. Classifying (or Naming) a Polynomial by Number of Terms 251 termMonomial 15h1 termMonomial 25h 3 + 72 termsBinomial 3t 7 – 4t 6 + 12

48. Classifying (or Naming) a Polynomial by Number of Terms 251 termMonomial 15h1 termMonomial 25h 3 + 72 termsBinomial 3t 7 – 4t 6 + 123 terms

49. Classifying (or Naming) a Polynomial by Number of Terms 251 termMonomial 15h1 termMonomial 25h 3 + 72 termsBinomial 3t 7 – 4t 6 + 123 termsTrinomial

50. Classifying (or Naming) a Polynomial by Number of Terms 251 termMonomial 15h1 termMonomial 25h 3 + 72 termsBinomial 3t 7 – 4t 6 + 123 termsTrinomial 4b 10 + 2b 8 – 7b 6 - 8

51. Classifying (or Naming) a Polynomial by Number of Terms 251 termMonomial 15h1 termMonomial 25h 3 + 72 termsBinomial 3t 7 – 4t 6 + 123 termsTrinomial 4b 10 + 2b 8 – 7b 6 - 8 4 (or more) terms

52. Classifying (or Naming) a Polynomial by Number of Terms 251 termMonomial 15h1 termMonomial 25h 3 + 72 termsBinomial 3t 7 – 4t 6 + 123 termsTrinomial 4b 10 + 2b 8 – 7b 6 - 8 4 (or more) terms Polynomial with 4 terms

53. Classifying (or Naming) a Polynomial by Number of Terms 251 termMonomial 15h1 termMonomial 25h 3 + 72 termsBinomial 3t 7 – 4t 6 + 123 termsTrinomial 4b 10 + 2b 8 – 7b 6 - 8 4 (or more) terms Polynomial with 4 terms 8j 7 – 3j 5 + 2j 4 - j 2 - 6j + 7

54. Classifying (or Naming) a Polynomial by Number of Terms 251 termMonomial 15h1 termMonomial 25h 3 + 72 termsBinomial 3t 7 – 4t 6 + 123 termsTrinomial 4b 10 + 2b 8 – 7b 6 - 8 4 (or more) terms Polynomial with 4 terms 8j 7 – 3j 5 + 2j 4 - j 2 - 6j + 7 6 terms

55. Classifying (or Naming) a Polynomial by Number of Terms 251 termMonomial 15h1 termMonomial 25h 3 + 72 termsBinomial 3t 7 – 4t 6 + 123 termsTrinomial 4b 10 + 2b 8 – 7b 6 - 8 4 (or more) terms Polynomial with 4 terms 8j 7 – 3j 5 + 2j 4 - j 2 - 6j + 7 6 termsPolynomial with 6 terms The term name becomes the “last name” of a polynomial.

56. Let’s practice classifying a polynomial by “number of terms”. Polynomial 1.15x 2.2e 8 – 3e 7 + 3e – 7 3.6c + 5 4.3y 7 – 4y 5 + 8y 3 5.64 6.2p 8 – 4p 6 + 9p 4 + 3p – 1 7.25h 3 – 15h 2 + 18 8.55c 19 + 35 Classify by # of Terms: 1.Monomial 2.Polynomial with 4 terms 3.Binomial 4.Trinomial 5.Monomial 6.Polynomial with 5 terms 7.Trinomial 8.Binomial

57. Naming/Classifying Polynomials by Degree (1 st name) and Number of Terms (last name) PolynomialDegree# of TermsFull Name 2 2x 2x + 7 5b 2

58. Naming/Classifying Polynomials by Degree (1 st name) and Number of Terms (last name) PolynomialDegree# of TermsFull Name 2No degree (constant) 2x 2x + 7 5b 2

59. Naming/Classifying Polynomials by Degree (1 st name) and Number of Terms (last name) PolynomialDegree# of TermsFull Name 2No degree (constant) 1 term (monomial) 2x 2x + 7 5b 2

60. Naming/Classifying Polynomials by Degree (1 st name) and Number of Terms (last name) PolynomialDegree# of TermsFull Name 2No degree (constant) 1 term (monomial) Constant Monomial 2x 2x + 7 5b 2

61. Naming/Classifying Polynomials by Degree (1 st name) and Number of Terms (last name) PolynomialDegree# of TermsFull Name 2No degree (constant) 1 term (monomial) Constant Monomial 2x1 st degree (Linear) 2x + 7 5b 2

62. Naming/Classifying Polynomials by Degree (1 st name) and Number of Terms (last name) PolynomialDegree# of TermsFull Name 2No degree (constant) 1 term (monomial) Constant Monomial 2x1 st degree (Linear) 1 term (monomial) 2x + 7 5b 2

63. Naming/Classifying Polynomials by Degree (1 st name) and Number of Terms (last name) PolynomialDegree# of TermsFull Name 2No degree (constant) 1 term (monomial) Constant Monomial 2x1 st degree (Linear) 1 term (monomial) Linear Monomial 2x + 7 5b 2

64. Naming/Classifying Polynomials by Degree (1 st name) and Number of Terms (last name) PolynomialDegree# of TermsFull Name 2No degree (constant) 1 term (monomial) Constant Monomial 2x1 st degree (Linear) 1 term (monomial) Linear Monomial 2x + 71 st degree (linear) 5b 2

65. Naming/Classifying Polynomials by Degree (1 st name) and Number of Terms (last name) PolynomialDegree# of TermsFull Name 2No degree (constant) 1 term (monomial) Constant Monomial 2x1 st degree (Linear) 1 term (monomial) Linear Monomial 2x + 71 st degree (linear) 2 terms (binomial) 5b 2

66. Naming/Classifying Polynomials by Degree (1 st name) and Number of Terms (last name) PolynomialDegree# of TermsFull Name 2No degree (constant) 1 term (monomial) Constant Monomial 2x1 st degree (Linear) 1 term (monomial) Linear Monomial 2x + 71 st degree (linear) 2 terms (binomial) Linear Binomial 5b 2

67. Naming/Classifying Polynomials by Degree (1 st name) and Number of Terms (last name) PolynomialDegree# of TermsFull Name 2No degree (constant) 1 term (monomial) Constant Monomial 2x1 st degree (Linear) 1 term (monomial) Linear Monomial 2x + 71 st degree (linear) 2 terms (binomial) Linear Binomial 5b 2 2 nd degree (quadratic)

68. Naming/Classifying Polynomials by Degree (1 st name) and Number of Terms (last name) PolynomialDegree# of TermsFull Name 2No degree (constant) 1 term (monomial) Constant Monomial 2x1 st degree (Linear) 1 term (monomial) Linear Monomial 2x + 71 st degree (linear) 2 terms (binomial) Linear Binomial 5b 2 2 nd degree (quadratic) 1 term (monomial)

69. Naming/Classifying Polynomials by Degree (1 st name) and Number of Terms (last name) PolynomialDegree# of TermsFull Name 2No degree (constant) 1 term (monomial) Constant Monomial 2x1 st degree (Linear) 1 term (monomial) Linear Monomial 2x + 71 st degree (linear) 2 terms (binomial) Linear Binomial 5b 2 2 nd degree (quadratic) 1 term (monomial) Quadratic Monomial

70. ...more polynomials... 5b 2 + 2 5b 2 + 3b + 2 3f 3 2f 3 – 7 7f 3 – 2f 2 + f 9k 4

71. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 5b 2 + 3b + 2 3f 3 2f 3 – 7 7f 3 – 2f 2 + f 9k 4

72. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 2 terms (binomial) 5b 2 + 3b + 2 3f 3 2f 3 – 7 7f 3 – 2f 2 + f 9k 4

73. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b 2 + 3b + 2 3f 3 2f 3 – 7 7f 3 – 2f 2 + f 9k 4

74. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b 2 + 3b + 22 nd degree (quadratic) 3f 3 2f 3 – 7 7f 3 – 2f 2 + f 9k 4

75. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b 2 + 3b + 22 nd degree (quadratic) 3 terms (trinomial) 3f 3 2f 3 – 7 7f 3 – 2f 2 + f 9k 4

76. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b 2 + 3b + 22 nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial 3f 3 2f 3 – 7 7f 3 – 2f 2 + f 9k 4

77. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b 2 + 3b + 22 nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial 3f 3 3 rd degree (cubic) 2f 3 – 7 7f 3 – 2f 2 + f 9k 4

78. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b 2 + 3b + 22 nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial 3f 3 3 rd degree (cubic) 1 term (monomial) 2f 3 – 7 7f 3 – 2f 2 + f 9k 4

79. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b 2 + 3b + 22 nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial 3f 3 3 rd degree (cubic) 1 term (monomial) Cubic Monomial 2f 3 – 7 7f 3 – 2f 2 + f 9k 4

80. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b 2 + 3b + 22 nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial 3f 3 3 rd degree (cubic) 1 term (monomial) Cubic Monomial 2f 3 – 73 rd degree (cubic) 7f 3 – 2f 2 + f 9k 4

81. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b 2 + 3b + 22 nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial 3f 3 3 rd degree (cubic) 1 term (monomial) Cubic Monomial 2f 3 – 73 rd degree (cubic) 2 terms (binomial) 7f 3 – 2f 2 + f 9k 4

82. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b 2 + 3b + 22 nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial 3f 3 3 rd degree (cubic) 1 term (monomial) Cubic Monomial 2f 3 – 73 rd degree (cubic) 2 terms (binomial) Cubic Binomial 7f 3 – 2f 2 + f 9k 4

83. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b 2 + 3b + 22 nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial 3f 3 3 rd degree (cubic) 1 term (monomial) Cubic Monomial 2f 3 – 73 rd degree (cubic) 2 terms (binomial) Cubic Binomial 7f 3 – 2f 2 + f3 rd degree (cubic) 9k 4

84. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b 2 + 3b + 22 nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial 3f 3 3 rd degree (cubic) 1 term (monomial) Cubic Monomial 2f 3 – 73 rd degree (cubic) 2 terms (binomial) Cubic Binomial 7f 3 – 2f 2 + f3 rd degree (cubic) 3 terms (trinomial) 9k 4

85. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b 2 + 3b + 22 nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial 3f 3 3 rd degree (cubic) 1 term (monomial) Cubic Monomial 2f 3 – 73 rd degree (cubic) 2 terms (binomial) Cubic Binomial 7f 3 – 2f 2 + f3 rd degree (cubic) 3 terms (trinomial) Cubic Trinomial 9k 4

86. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b 2 + 3b + 22 nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial 3f 3 3 rd degree (cubic) 1 term (monomial) Cubic Monomial 2f 3 – 73 rd degree (cubic) 2 terms (binomial) Cubic Binomial 7f 3 – 2f 2 + f3 rd degree (cubic) 3 terms (trinomial) Cubic Trinomial 9k 4 4 th degree (quartic)

87. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b 2 + 3b + 22 nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial 3f 3 3 rd degree (cubic) 1 term (monomial) Cubic Monomial 2f 3 – 73 rd degree (cubic) 2 terms (binomial) Cubic Binomial 7f 3 – 2f 2 + f3 rd degree (cubic) 3 terms (trinomial) Cubic Trinomial 9k 4 4 th degree (quartic) 1 term (monomial)

88. ...more polynomials... 5b 2 + 22 nd degree (quadratic) 2 terms (binomial) Quadratic Binomial 5b 2 + 3b + 22 nd degree (quadratic) 3 terms (trinomial) Quadratic Trinomial 3f 3 3 rd degree (cubic) 1 term (monomial) Cubic Monomial 2f 3 – 73 rd degree (cubic) 2 terms (binomial) Cubic Binomial 7f 3 – 2f 2 + f3 rd degree (cubic) 3 terms (trinomial) Cubic Trinomial 9k 4 4 th degree (quartic) 1 term (monomial) Quartic Monomial

89. ...more polynomials... 9k 4 – 3k 2 9k 4 + 3k 2 + 2 v5v5 v 5 – 7v f 5 – 2f 4 + f 2 j 7 - 2j 5 + 7j 3 - 8

90. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 9k 4 + 3k 2 + 2 v5v5 v 5 – 7v f 5 – 2f 4 + f 2 j 7 - 2j 5 + 7j 3 - 8

91. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 2 terms (binomial) 9k 4 + 3k 2 + 2 v5v5 v 5 – 7v f 5 – 2f 4 + f 2 j 7 - 2j 5 + 7j 3 - 8

92. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 2 terms (binomial) Quartic Binomial 9k 4 + 3k 2 + 2 v5v5 v 5 – 7v f 5 – 2f 4 + f 2 j 7 - 2j 5 + 7j 3 - 8

93. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 2 terms (binomial) Quartic Binomial 9k 4 + 3k 2 + 24 th degree (quartic) v5v5 v 5 – 7v f 5 – 2f 4 + f 2 j 7 - 2j 5 + 7j 3 - 8

94. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 2 terms (binomial) Quartic Binomial 9k 4 + 3k 2 + 24 th degree (quartic) 3 terms (trinomial) v5v5 v 5 – 7v f 5 – 2f 4 + f 2 j 7 - 2j 5 + 7j 3 - 8

95. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 2 terms (binomial) Quartic Binomial 9k 4 + 3k 2 + 24 th degree (quartic) 3 terms (trinomial) Quartic Trinomial v5v5 v 5 – 7v f 5 – 2f 4 + f 2 j 7 - 2j 5 + 7j 3 - 8

96. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 2 terms (binomial) Quartic Binomial 9k 4 + 3k 2 + 24 th degree (quartic) 3 terms (trinomial) Quartic Trinomial v5v5 5th degree (quintic) v 5 – 7v f 5 – 2f 4 + f 2 j 7 - 2j 5 + 7j 3 - 8

97. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 2 terms (binomial) Quartic Binomial 9k 4 + 3k 2 + 24 th degree (quartic) 3 terms (trinomial) Quartic Trinomial v5v5 5th degree (quintic) 1 term (monomial) v 5 – 7v f 5 – 2f 4 + f 2 j 7 - 2j 5 + 7j 3 - 8

98. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 2 terms (binomial) Quartic Binomial 9k 4 + 3k 2 + 24 th degree (quartic) 3 terms (trinomial) Quartic Trinomial v5v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v 5 – 7v f 5 – 2f 4 + f 2 j 7 - 2j 5 + 7j 3 - 8

99. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 2 terms (binomial) Quartic Binomial 9k 4 + 3k 2 + 24 th degree (quartic) 3 terms (trinomial) Quartic Trinomial v5v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v 5 – 7v5th degree (quintic) f 5 – 2f 4 + f 2 j 7 - 2j 5 + 7j 3 - 8

100. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 2 terms (binomial) Quartic Binomial 9k 4 + 3k 2 + 24 th degree (quartic) 3 terms (trinomial) Quartic Trinomial v5v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v 5 – 7v5th degree (quintic) 2 terms (binomial) f 5 – 2f 4 + f 2 j 7 - 2j 5 + 7j 3 - 8

101. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 2 terms (binomial) Quartic Binomial 9k 4 + 3k 2 + 24 th degree (quartic) 3 terms (trinomial) Quartic Trinomial v5v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v 5 – 7v5th degree (quintic) 2 terms (binomial) Quintic Binomial f 5 – 2f 4 + f 2 j 7 - 2j 5 + 7j 3 - 8

102. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 2 terms (binomial) Quartic Binomial 9k 4 + 3k 2 + 24 th degree (quartic) 3 terms (trinomial) Quartic Trinomial v5v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v 5 – 7v5th degree (quintic) 2 terms (binomial) Quintic Binomial f 5 – 2f 4 + f 2 5th degree (quintic) j 7 - 2j 5 + 7j 3 - 8

103. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 2 terms (binomial) Quartic Binomial 9k 4 + 3k 2 + 24 th degree (quartic) 3 terms (trinomial) Quartic Trinomial v5v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v 5 – 7v5th degree (quintic) 2 terms (binomial) Quintic Binomial f 5 – 2f 4 + f 2 5th degree (quintic) 3 terms (trinomial) j 7 - 2j 5 + 7j 3 - 8

104. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 2 terms (binomial) Quartic Binomial 9k 4 + 3k 2 + 24 th degree (quartic) 3 terms (trinomial) Quartic Trinomial v5v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v 5 – 7v5th degree (quintic) 2 terms (binomial) Quintic Binomial f 5 – 2f 4 + f 2 5th degree (quintic) 3 terms (trinomial) Quintic Trinomial j 7 - 2j 5 + 7j 3 - 8

105. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 2 terms (binomial) Quartic Binomial 9k 4 + 3k 2 + 24 th degree (quartic) 3 terms (trinomial) Quartic Trinomial v5v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v 5 – 7v5th degree (quintic) 2 terms (binomial) Quintic Binomial f 5 – 2f 4 + f 2 5th degree (quintic) 3 terms (trinomial) Quintic Trinomial j 7 - 2j 5 + 7j 3 - 87th degree (7 th degree)

106. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 2 terms (binomial) Quartic Binomial 9k 4 + 3k 2 + 24 th degree (quartic) 3 terms (trinomial) Quartic Trinomial v5v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v 5 – 7v5th degree (quintic) 2 terms (binomial) Quintic Binomial f 5 – 2f 4 + f 2 5th degree (quintic) 3 terms (trinomial) Quintic Trinomial j 7 - 2j 5 + 7j 3 - 87th degree (7 th degree) 4 terms ( polynomial with 4 terms )

107. ...more polynomials... 9k 4 – 3k 2 4 th degree (quartic) 2 terms (binomial) Quartic Binomial 9k 4 + 3k 2 + 24 th degree (quartic) 3 terms (trinomial) Quartic Trinomial v5v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v 5 – 7v5th degree (quintic) 2 terms (binomial) Quintic Binomial f 5 – 2f 4 + f 2 5th degree (quintic) 3 terms (trinomial) Quintic Trinomial j 7 - 2j 5 + 7j 3 - 87th degree (7 th degree) 4 terms ( polynomial with 4 terms ) 7 th degree polynomial with 4 terms

108. Can you name them now? Give it a try... copy and classify (2 columns): POLYNOMIAL 1.5x 2 – 2x + 3 2.2z + 5 3.7a 3 + 4a – 12 4.-15 5.27x 8 + 3x 5 – 7x + 4 6.9x 4 – 3 7.10x – 185 8.18x 5 CLASSIFICATION / NAME 1.Quadratic Trinomial 2.Linear Binomial 3.Cubic Trinomial 4.Constant Monomial 5.8 th Degree Polynomial with 4 terms. 6.Quartic Binomial 7.Linear Binomial 8.Quintic Monomial

109. ...more practice... 9.19z 25 10. 6n 7 + 3n 5 – 4n 11. 189 12. 15g 5 + 3g 4 – 3g – 7 13. 3x 9 + 12 14. 6z 3 – 2z 2 + 4z + 7 15. 9c 16. 15b 2 – b + 51 9.25 th degree Monomial 10. 7 th degree Trinomial 11. Constant Monomial 12. Quintic polynomial with 4 terms 13. 9 th degree Binomial 14. Cubic polynomial with 4 terms. 15. Linear Monomial 16.Quadratic Trinomial

110. Create-A-Polynomial Activity: You will need one sheet of paper, a pencil, and your notes on Classifying Polynomials. You will be given the names of some polynomials. YOU must create a correct matching example, but REMEMBER: –Answers must be in standard form. –Each problem can only use one variable throughout the problem (see examples in notes from powerpoint). –All variable powers in each example must have DIFFERENT exponents (again, see examples in notes from powerpoint). –There can only be one constant in each problem. You will need two columns on your paper. –Left column title: Polynomial Name –Right column title: Polynomial in Standard Form.

111. Create - A – Polynomial Activity: Copy each polynomial name. Create your own polynomial to match ( 2 columns). Partner/Independent work (pairs). 1.6 th degree polynomial with 4 terms. 2.Linear Monomial 3.Quadratic Trinomial 4.Constant Monomial 5.Cubic Binomial 6.Quartic Monomial 7.Quintic polynomial with 5 terms. 8.Linear Binomial 9.Cubic Trinomial 10. Quadratic Binomial 11. Quintic Trinomial 12. Constant Monomial 13. Cubic Monomial 14. 10 th degree polynomial with 6 terms 15. 8 th degree Binomial 16. 20 th degree Trinomial