Construct a polynomial function with the stated properties. Third-degree, with zeros of - 3, - 1, and 2, and passes through the point (1, 7).

Using the Factor Theorem, the polynomial function is given by:

The Factor Theorem states that a polynomial function with roots is given by:

In which a is the leading coefficient.

In this problem, the zeros are -3, -1 and 2, hence .

The function is given by:

It passes through the point (1,7), which means that when , and this us used to find a.

Hence, the polynomial is:

A similar problem is given at link

Hello,

Third degree and zeroes are -3, -1 and 2 so we can write the function as below, a being a real

and we know that f(1)=7

so

a * 4 * 2 *(-1) = -8a=7

a = -7/8

Then

thanks

there is no picture

step-by-step explanation:

put up a picture so people can you