Please help solve algebra question

Question

Find a polynomial function of degree 5 with -2 as a zero of multiplicity 3,0 as a zero of multiplicity 1, and 2 as a zero of multiplicity 1

Answer 1

f(x) = (x+2)^3(x)(x-2) =x(x^3 + 6xx^2+ 12x+ 8)(x-2) = x^5 +5x^4 -16x^2 - 16x