The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=2 and x=0, and a root of multiplicity 1 at x=-2. Find a possible formula for P(x).

Answer 1

"has roots of multiplicity 2 at x=2 and x=0" ----- (x-2)^2 (x^2)
"a root of multiplicity 1 at x=-2" ---- (x+2)

y = x^2(x+2)(x-2)^2

"has roots of multiplicity 2 at x=2 and x=0" is not clear
does the multiplicity apply to both roots? I assumed thus