Polynomial Functions.pptx

This is all about illustrating polynomial functions.

1. POLYNOMIAL FUNCTION P ( ) = + + + … + + Where n is a nonnegative integer , , , … are real numbers called coefficients, is the leading term, is the leading coefficient, and is the constant term  

2. POLYNOMIAL FUNCTION P ( ) = + + + … + + Where n is a nonnegative integer , , , … are real numbers called coefficients, is the leading term, is the leading coefficient, and is the constant term  

3. POLYNOMIAL FUNCTION P ( ) = + + + … + + Example: P ( x ) = 3 + x - 7  

4. A function is a POLYNOMIAL FUNCTION if: The VARIABLE has no negative exponent. The VARIABLE has no fractional exponent. The VARIABLE is not inside the radical symbol. The VARIABLE is not in the denominator.

5. A function is a POLYNOMIAL FUNCTION if: The VARIABLE has no negative exponent. The VARIABLE has no fractional exponent. The VARIABLE is not inside the radical symbol. The VARIABLE is not in the denominator. P ( x ) = 2 - 4 x + 5    

6. A function is a POLYNOMIAL FUNCTION if: The VARIABLE has no negative exponent. The VARIABLE has no fractional exponent. The VARIABLE is not inside the radical symbol. The VARIABLE is not in the denominator. P ( x ) = + 6x + 5   X

7. A function is a POLYNOMIAL FUNCTION if: The VARIABLE has no negative exponent. The VARIABLE has no fractional exponent. The VARIABLE is not inside the radical symbol. The VARIABLE is not in the denominator. P ( x ) = - 7 + 2   X

8. A function is a POLYNOMIAL FUNCTION if: The VARIABLE has no negative exponent. The VARIABLE has no fractional exponent. The VARIABLE is not inside the radical symbol. The VARIABLE is not in the denominator. P ( x ) = + 3 x - 2   X

9. A function is a POLYNOMIAL FUNCTION if: The VARIABLE has no negative exponent. The VARIABLE has no fractional exponent. The VARIABLE is not inside the radical symbol. The VARIABLE is not in the denominator. P ( x ) = - 7 + 2 x + 4   X

10. Degree: Leading Term: Leading Coefficient: Constant Term: P ( x ) = 2 - 4 x + 5   2   2 5 3

11. Degree: Leading Term: Leading Coefficient: Constant Term: f ( x ) = 2 x + + 1  

12. Rewriting Polynomial Function in Standard Form f ( x ) = 2 x + + 1   f ( x ) = + 2 x + 1  

13. Degree: Leading Term: Leading Coefficient: Constant Term: f ( x ) = 2x + + 1     1 1 f ( x ) = + 2x + 1   3

14. Degree: Leading Term: Leading Coefficient: Constant Term: y = ( + 4)  

15. Writing Polynomial Function From Factored Form to Standard Form y = ( + 4)   y = + 4  

16. Degree: Leading Term: Leading Coefficient: Constant Term: y = ( + 4)     1 y = + 4   5