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 equatio
n of the cubic polynomial in standard form.
1 answer:
Answer:
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
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