Answer
$P(x)=x^5-5x^3+4x$
Work Step by Step
RECALL:
If c is a zero of a polynomial, then $x-c$ is a factor of the polynomial.
Since -2, -1, 0, 1, and 2 are zeros of the polynomial, then
(x+2),(x+1),(x), (x-1), and (x−2) are factors of the polynomial.
Thus, one polynomial of degree 5 with the given zeros is:
$\\P(x)=(x+2)(x+1)(x)(x−1)(x-2)
\\P(x)=x^5-5x^3+4x$