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CLASSIFYING POLYNOMIALS

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1 CLASSIFYING POLYNOMIALS
by: GLORIA KENT

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. (Learned in previous lesson on Writing Polynomials in Standard Form)

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

5 Degree of a Polynomial (Each degree has a special “name”)
9 No variable

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

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

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

9 Degree of a Polynomial (Each degree has a special “name”)
9 No variable Constant 8x 1st degree Linear

10 Degree of a Polynomial (Each degree has a special “name”)
9 No variable Constant 8x 1st degree Linear 7x2 + 3x

11 Degree of a Polynomial (Each degree has a special “name”)
9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree

12 Degree of a Polynomial (Each degree has a special “name”)
9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic

13 Degree of a Polynomial (Each degree has a special “name”)
9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x

14 Degree of a Polynomial (Each degree has a special “name”)
9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree

15 Degree of a Polynomial (Each degree has a special “name”)
9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic

16 Degree of a Polynomial (Each degree has a special “name”)
9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1

17 Degree of a Polynomial (Each degree has a special “name”)
9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1 4th degree

18 Degree of a Polynomial (Each degree has a special “name”)
9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1 4th degree Quartic

19 Degree of a Polynomial (Each degree has a special “name”)
9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1 4th degree Quartic 2x5 + 7x3

20 Degree of a Polynomial (Each degree has a special “name”)
9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1 4th degree Quartic 2x5 + 7x3 5th degree

21 Degree of a Polynomial (Each degree has a special “name”)
9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1 4th degree Quartic 2x5 + 7x3 5th degree Quintic

22 Degree of a Polynomial (Each degree has a special “name”)
9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1 4th degree Quartic 2x5 + 7x3 5th degree Quintic 5xn

23 Degree of a Polynomial (Each degree has a special “name”)
9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1 4th degree Quartic 2x5 + 7x3 5th degree Quintic 5xn “nth” degree

24 Degree of a Polynomial (Each degree has a special “name”)
9 No variable Constant 8x 1st degree Linear 7x2 + 3x 2nd degree Quadratic 6x3 – 2x 3rd degree Cubic 3x4 + 5x – 1 4th degree Quartic 2x5 + 7x3 5th degree Quintic 5xn “nth” degree

25 Let’s practice classifying polynomials by “degree”.
3z4 + 5z3 – 7 15a + 25 185 2c10 – 7c6 + 4c3 - 9 2f3 – 7f2 + 1 15y2 9g4 – 3g + 5 10r5 –7r 16n7 + 6n4 – 3n2 DEGREE NAME Quartic Linear Constant Tenth degree Cubic Quadratic Quintic Seventh degree The degree name becomes the “first name” of the polynomial.

26 Naming Polynomials (by number of terms)

27 Naming Polynomials (by number of terms)
One term

28 Naming Polynomials (by number of terms)
One term Monomial

29 Naming Polynomials (by number of terms)
One term Monomial

30 Naming Polynomials (by number of terms)
One term Monomial Two terms

31 Naming Polynomials (by number of terms)
One term Monomial Two terms Binomial

32 Naming Polynomials (by number of terms)
One term Monomial Two terms Binomial

33 Naming Polynomials (by number of terms)
One term Monomial Two terms Binomial Three terms

34 Naming Polynomials (by number of terms)
One term Monomial Two terms Binomial Three terms Trinomial

35 Naming Polynomials (by number of terms)
One term Monomial Two terms Binomial Three terms Trinomial

36 Naming Polynomials (by number of terms)
One term Monomial Two terms Binomial Three terms Trinomial Four (or more) terms

37 Naming Polynomials (by number of terms)
One term Monomial Two terms Binomial Three terms Trinomial 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
25 1 term

40 Classifying (or Naming) a Polynomial by Number of Terms
25 1 term Monomial

41 Classifying (or Naming) a Polynomial by Number of Terms
25 1 term Monomial 15h

42 Classifying (or Naming) a Polynomial by Number of Terms
25 1 term Monomial 15h

43 Classifying (or Naming) a Polynomial by Number of Terms
25 1 term Monomial 15h

44 Classifying (or Naming) a Polynomial by Number of Terms
25 1 term Monomial 15h 25h3 + 7

45 Classifying (or Naming) a Polynomial by Number of Terms
25 1 term Monomial 15h 25h3 + 7 2 terms

46 Classifying (or Naming) a Polynomial by Number of Terms
25 1 term Monomial 15h 25h3 + 7 2 terms Binomial

47 Classifying (or Naming) a Polynomial by Number of Terms
25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12

48 Classifying (or Naming) a Polynomial by Number of Terms
25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12 3 terms

49 Classifying (or Naming) a Polynomial by Number of Terms
25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12 3 terms Trinomial

50 Classifying (or Naming) a Polynomial by Number of Terms
25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12 3 terms Trinomial 4b10 + 2b8 – 7b6 - 8

51 Classifying (or Naming) a Polynomial by Number of Terms
25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12 3 terms Trinomial 4b10 + 2b8 – 7b6 - 8 4 (or more) terms

52 Classifying (or Naming) a Polynomial by Number of Terms
25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12 3 terms Trinomial 4b10 + 2b8 – 7b6 - 8 4 (or more) terms Polynomial with 4 terms

53 Classifying (or Naming) a Polynomial by Number of Terms
25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12 3 terms Trinomial 4b10 + 2b8 – 7b6 - 8 4 (or more) terms Polynomial with 4 terms 8j7 – 3j5 + 2j4 - j2 - 6j + 7

54 Classifying (or Naming) a Polynomial by Number of Terms
25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12 3 terms Trinomial 4b10 + 2b8 – 7b6 - 8 4 (or more) terms Polynomial with 4 terms 8j7 – 3j5 + 2j4 - j2 - 6j + 7 6 terms

55 Classifying (or Naming) a Polynomial by Number of Terms
25 1 term Monomial 15h 25h3 + 7 2 terms Binomial 3t7 – 4t6 + 12 3 terms Trinomial 4b10 + 2b8 – 7b6 - 8 4 (or more) terms Polynomial with 4 terms 8j7 – 3j5 + 2j4 - j2 - 6j + 7 6 terms Polynomial with 6 terms The term name becomes the “last name” of a polynomial.

56 Let’s practice classifying a polynomial by “number of terms”.
15x 2e8 – 3e7 + 3e – 7 6c + 5 3y7 – 4y5 + 8y3 64 2p8 – 4p6 + 9p4 + 3p – 1 25h3 – 15h2 + 18 55c Classify by # of Terms: Monomial Polynomial with 4 terms Binomial Trinomial Polynomial with 5 terms

57 Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name)
Full Name 2 2x 2x + 7 5b2

58 Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name)
Full Name 2 No degree (constant) 2x 2x + 7 5b2

59 Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name)
Full Name 2 No degree (constant) 1 term (monomial) 2x 2x + 7 5b2

60 Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name)
Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 2x + 7 5b2

61 Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name)
Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) 2x + 7 5b2

62 Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name)
Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) 2x + 7 5b2

63 Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name)
Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) Linear Monomial 2x + 7 5b2

64 Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name)
Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) Linear Monomial 2x + 7 1st degree (linear) 5b2

65 Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name)
Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) Linear Monomial 2x + 7 1st degree (linear) 2 terms (binomial) 5b2

66 Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name)
Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) Linear Monomial 2x + 7 1st degree (linear) 2 terms (binomial) Linear Binomial 5b2

67 Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name)
Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) Linear Monomial 2x + 7 1st degree (linear) 2 terms (binomial) Linear Binomial 5b2 2nd degree (quadratic)

68 Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name)
Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) Linear Monomial 2x + 7 1st degree (linear) 2 terms (binomial) Linear Binomial 5b2 2nd degree (quadratic)

69 Naming/Classifying Polynomials by Degree (1st name) and Number of Terms (last name)
Full Name 2 No degree (constant) 1 term (monomial) Constant Monomial 2x 1st degree (Linear) Linear Monomial 2x + 7 1st degree (linear) 2 terms (binomial) Linear Binomial 5b2 2nd degree (quadratic) Quadratic Monomial

70 . . .more polynomials. . . 5b2 + 2 5b2 + 3b + 2 3f3 2f3 – 7
7f3 – 2f2 + f 9k4

71 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic) 5b2 + 3b + 2
3f3 2f3 – 7 7f3 – 2f2 + f 9k4

72 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic)
2 terms (binomial) 5b2 + 3b + 2 3f3 2f3 – 7 7f3 – 2f2 + f 9k4

73 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic)
2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3f3 2f3 – 7 7f3 – 2f2 + f 9k4

74 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic)
2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3f3 2f3 – 7 7f3 – 2f2 + f 9k4

75 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic)
2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) 3f3 2f3 – 7 7f3 – 2f2 + f 9k4

76 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic)
2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 2f3 – 7 7f3 – 2f2 + f 9k4

77 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic)
2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 2f3 – 7 7f3 – 2f2 + f 9k4

78 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic)
2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) 2f3 – 7 7f3 – 2f2 + f 9k4

79 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic)
2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 7f3 – 2f2 + f 9k4

80 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic)
2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 7f3 – 2f2 + f 9k4

81 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic)
2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 7f3 – 2f2 + f 9k4

82 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic)
2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 Cubic Binomial 7f3 – 2f2 + f 9k4

83 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic)
2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 Cubic Binomial 7f3 – 2f2 + f 9k4

84 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic)
2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 Cubic Binomial 7f3 – 2f2 + f 9k4

85 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic)
2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 Cubic Binomial 7f3 – 2f2 + f Cubic Trinomial 9k4

86 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic)
2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 Cubic Binomial 7f3 – 2f2 + f Cubic Trinomial 9k4 4th degree (quartic)

87 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic)
2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 Cubic Binomial 7f3 – 2f2 + f Cubic Trinomial 9k4 4th degree (quartic)

88 . . .more polynomials. . . 5b2 + 2 2nd degree (quadratic)
2 terms (binomial) Quadratic Binomial 5b2 + 3b + 2 3 terms (trinomial) Quadratic Trinomial 3f3 3rd degree (cubic) 1 term (monomial) Cubic Monomial 2f3 – 7 Cubic Binomial 7f3 – 2f2 + f Cubic Trinomial 9k4 4th degree (quartic) Quartic Monomial

89 . . .more polynomials. . . 9k4 – 3k2 9k4 + 3k2 + 2 v5 v5 – 7v
f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

90 . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic)
v5 v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

91 . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic)
2 terms (binomial) 9k4 + 3k2 + 2 v5 v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

92 . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic)
2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 v5 v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

93 . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic)
2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 v5 v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

94 . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic)
2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) v5 v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

95 . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic)
2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

96 . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic)
2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

97 . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic)
2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

98 . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic)
2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

99 . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic)
2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

100 . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic)
2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

101 . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic)
2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v Quintic Binomial f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

102 . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic)
2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v Quintic Binomial f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

103 . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic)
2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v Quintic Binomial f5 – 2f4 + f2 j7 - 2j5 + 7j3 - 8

104 . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic)
2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v Quintic Binomial f5 – 2f4 + f2 Quintic Trinomial j7 - 2j5 + 7j3 - 8

105 . . .more polynomials. . . 9k4 – 3k2 4th degree (quartic)
2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v Quintic Binomial f5 – 2f4 + f2 Quintic Trinomial j7 - 2j5 + 7j3 - 8 7th degree (7th degree)

106 4 terms (polynomial with 4 terms)
. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v Quintic Binomial f5 – 2f4 + f2 Quintic Trinomial j7 - 2j5 + 7j3 - 8 7th degree (7th degree) 4 terms (polynomial with 4 terms)

107 4 terms (polynomial with 4 terms)
. . .more polynomials. . . 9k4 – 3k2 4th degree (quartic) 2 terms (binomial) Quartic Binomial 9k4 + 3k2 + 2 3 terms (trinomial) Quartic Trinomial v5 5th degree (quintic) 1 term (monomial) Quintic Monomial v5 – 7v Quintic Binomial f5 – 2f4 + f2 Quintic Trinomial j7 - 2j5 + 7j3 - 8 7th degree (7th degree) 4 terms (polynomial with 4 terms) 7th degree polynomial with 4 terms

108 Can you name them now? Give it a try. . . copy and classify (2 columns):
POLYNOMIAL 5x2 – 2x + 3 2z + 5 7a3 + 4a – 12 -15 27x8 + 3x5 – 7x + 4 9x4 – 3 10x – 185 18x5 CLASSIFICATION / NAME Quadratic Trinomial Linear Binomial Cubic Trinomial Constant Monomial 8th Degree Polynomial with 4 terms. Quartic Binomial Quintic Monomial

109 . . .more practice. . . 19z25 6n7 + 3n5 – 4n 189 15g5 + 3g4 – 3g – 7
3x9 + 12 6z3 – 2z2 + 4z + 7 9c 15b2 – b + 51 25th degree Monomial 7th degree Trinomial Constant Monomial Quintic polynomial with 4 terms 9th degree Binomial Cubic polynomial with 4 terms. Linear Monomial 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 - A – Polynomial Activity: Copy each polynomial name. Create your own polynomial to match ( 2 columns). Partner/Independent work (pairs). 6th degree polynomial with 4 terms. Linear Monomial Quadratic Trinomial Constant Monomial Cubic Binomial Quartic Monomial Quintic polynomial with 5 terms. Linear Binomial Cubic Trinomial Quadratic Binomial Quintic Trinomial Constant Monomial Cubic Monomial 10th degree polynomial with 6 terms 8th degree Binomial 20th degree Trinomial

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 MCC9 ‐ 12.A.SSE.1 Interpret expressions that represent a quantity in terms of its context.  MCC9 ‐ 12.A.SSE.1a Interpret parts of an expression, such.
EQ – what is a polynomial, and how can I tell if a term is one?

EQ – what is a polynomial, and how can I tell if a term is one?
CLASSIFYING POLYNOMIALS. A _______________ is a sum or difference of terms. Polynomials have special names based on their _______ and the number of _______.

CLASSIFYING POLYNOMIALS. A _______________ is a sum or difference of terms. Polynomials have special names based on their _______ and the number of _______.
Homework Log Thurs 11/19 Lesson 5 – 1 Learning Objective:

Homework Log Thurs 11/19 Lesson 5 – 1 Learning Objective:
POLYNOMIAL Function: A polynomial is the monomial or the sum of monomials with all exponents as whole numbers and coefficients are all real numbers. Ex-

POLYNOMIAL Function: A polynomial is the monomial or the sum of monomials with all exponents as whole numbers and coefficients are all real numbers. Ex-
Polynomial definitions Al gebraic expression -numbers and/or variables with operations 2a + 4 3r6y  7 term: numbers or variables separated by a + sign.

Polynomial definitions Al gebraic expression -numbers and/or variables with operations 2a + 4 3r6y  7 term: numbers or variables separated by a + sign.
Expressions with only multiplication, division and exponents are called monomials Write 3 monomials.

Expressions with only multiplication, division and exponents are called monomials Write 3 monomials.
Bell Work3/23/2015 Simplify. Polynomials 1/31/2016 Heading Today we will find the degree and classify polynomials in Standard Form. Also identify the.

Bell Work3/23/2015 Simplify. Polynomials 1/31/2016 Heading Today we will find the degree and classify polynomials in Standard Form. Also identify the.
Do Now: Evaluate each expression for x = -2. Aim: How do we work with polynomials? 1) -x + 12) x 2 - 53) -(x – 6) Simplify each expression. 4) (x + 5)

Do Now: Evaluate each expression for x = -2. Aim: How do we work with polynomials? 1) -x + 12) x ) -(x – 6) Simplify each expression. 4) (x + 5)

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