Find a polynomial function of degree 7 with -2 as a zero of multiplicity​ 3, 0 as a zero of multiplicity3 ​, and 2 as a zero of multiplicity 1.

The polynomial is , in which a is the leading coefficient.

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots such that it can be written as: , in which a is the leading coefficient.

-2 as a zero of multiplicity​ 3

This means that:

0 as a zero of multiplicity 3  

Then also:

2 as a zero of multiplicity 1.

Then:

Adding the leading coefficient:

The polynomial is , in which a is the leading coefficient.

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