Write a polynomial function in standard form with zeros at -3, 2, and -1.

answer:

f(x) = x³ + 2x² - 5x - 6

step-by-step explanation:

since the zeros are x = - 3, x = 2 and x = - 1, then the factors are

(x + 3), (x - 2) and (x + 1)

the polynomial is the the product of the factors

f(x) = (x + 3)(x - 2)(x + 1) ← expand the first pair using foil

      =   (x² + x - 6)(x + 1) ← distribute

    = x³ + x² + x² + x - 6x - 6 ← collect like terms

    = x³ + 2x² - 5x - 6

i will pick c put check it over to be sure

step-by-step explanation: