The function f (x) is a cubic function and the zeros of f (x) are - 3, - 2, and 1. The y-intercept of f (x) is - 24. Write the equation of the cubic polynomial in standard form.

f (x) = 4x³+16x²+4x-24

Step-by-step explanation:

Factors are (x+3) (x+2) (x-1)

(x+3) (x²+2x-x-2)

(x+3) (x²+x-2)

x³+x²-2x+3x²+3x-6

x³+4x²+x-6

This could have been the function but the intetcept is 6 here.

So we'll take a miltiple of this one such that the intercept becomes-24

-24/-6 = 4

That multiple is 4

f (x) = 4 (x³+4x²+x-6)

f (x) = 4x³+16x²+4x-24