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

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

4. 9 No variableConstant

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

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

7. 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

8. 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

9. 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

10. 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 6th degree or higher “nth” degree Degree of a Polynomial (Each degree has a special “name”)

11. 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.

12. Naming Polynomials (by number of terms)

13. One termMonomial

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

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

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

17. 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

18. Can you name them now? 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