G10 Q2 W1-2 ILLUSTRATE POLYNOMIAL FUNCTION.pptx

G10 Q2 W1-2 ILLUSTRATE POLYNOMIAL FUNCTION

1. POLYNOMIAL FUNCTION Prepare by: JUDY ANN Q. DACAWAN

2. Which is which? Determine whether each of the following is a P olynomial Expression ( PE ) or Not Polynomial Function ( NPE ).

3. 14x 3 PE or NPE

4. 5x 3 -4 + x   PE or NPE

5. -20xy 3 xy 43 PE or NPE

6. -   PE or NPE

7. x PE or NPE

8. PE or NPE + xyz  

9. ab -3 + 2abc PE or NPE

10.   PE or NPE

11. 2x – 5xy PE or NPE

12.   PE or NPE

13. -   PE or NPE

14. 20x -3 + 3y 6 PE or NPE

15. - 20x 24 - 3y 61 PE or NPE

16. Not a Polynomial if the variable has… Negative exponent Fractional exponent Inside the radical sign In the denominator

17. Polynomial Function Algebraic expression consist of one or more summed terms… Also called multinomial

18. P(x) = a n x n + a n-1 x n-1 + a n-2 x n-2 + … + a 1 x 1 + a Where a n ≠

19. Standard form Decreasing powers of variable, the polynomial function is in standard form.

20. Standard form

21. Write the given polynomial functions in Standard Form

22. Write the given polynomial functions in Standard Form P(x) = 3x 2 + 3x + 5x + 5 P(x) = 3x 2 + 8x + 5

23. P(x) = a n x n + a n-1 x n-1 + a n-2 x n-2 + … + a 1 x 1 + a Where a n ≠

24. a n x n - leading term a n x n -leading coefficient a -constant term a n x n - degree of polynomial function

25. Leading term Degree of P(x) Constant term Leading coefficient