find a polynomial with a degree of 3 and zeros -3,3,5 Question find a polynomial with a degree of 3 and zeros -3,3,5 in progress 0 Math Eliza 4 days 2021-09-11T04:28:01+00:00 2021-09-11T04:28:01+00:00 1 Answer 0

## Answers ( )

Answer:f(x) = x³ – 5x² – 9x + 45

Step-by-step explanation:Given x = a, x = b are the zeros of a polynomial, then

(x – a), (x – b) are the factors and f(x) is the product of the factors.

Here the zeros are x = – 3, x = 3 and x = 5, thus

(x + 3), (x – 3) and (x – 5) are the factors and

f(x) = (x + 3)(x – 3)(x – 5) ← expand the first pair of factors using FOIL

= (x² – 9)(x – 5) ← distribute

= x³ – 5x² – 9x + 45