Answer:
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.