Polynomial function

powerpoint presentation

1. WOODGROVE BANK Polynomial Function Ms. G. Martin

2. 2 If f(x) = C n X n + C n-1 X n-1 + … + C 3 X 3 + C 2 X 2 + C 1 X + C , where C n , C n-1 , ,… C 3 , C 2 , C 1 , C are constants and C n 0 and n is a non-negative integer then f(x) is called a polynomial function of degree n . A linear function is a polynomial function of degree 1. A quadratic function is a polynomial function of degree 2. A cubic function is a polynomial function of degree 3. The degree of a polynomial function is the degree of the term with the highest degree.  

3. 3 Polynomial Functions Not Polynomial Functions F(x) = x + 2 2. F(x) = 3x – x + 5- 3 3. F(x) = (x + 3)(x – 1) = x 2 + 2x - 3 4. F(x) = (x 2 – 1) 5. F(x) =x(x 5 – 6) x -2 + 2 4x 1/3 – 6 - 6 = 3 Polynomial Functions Not Polynomial Functions

4. 4

5. 5

6. 6 Polynomial Functions Degree Leading Term F(x) = x 3 – 2x + 5 3 x 3 F(x) = x 2 y – 3x – 1 3 x 2 y F(x) = 2x 4 – x 5 + 3 5 x 5 F(x) = 7 – 2x – x 6 6 x 6 F(x) = x 3 y 2 + 2 7 5 x 3 y 2

7. 7 THANK YOU! SMSDGRADE10-MT. TRIUMPH @ODL2020