Write the cubic polynomial function f(x)in expanded form with zeros −6, −4,and −1,given that f(−2)=−32.

Step-by-step explanation:

Polynomials

It's possible to build a polynomial function by knowing its zeros and leading coefficient.

Given the zeros of a third-degree polynomial: x=x1, x=x2, and x=x3, the function is:

Where a is the leading coefficient.

We are given the zeros -6, -4, and -1, thus:

The value of a can be calculated by substituting the point (-2,-32):

Calculating:

Dividing by -8:

a = 4.

The polynomial is now complete:

Operating:

a - base

b - exponent

so,

16

step-by-step explanation: