Question

write a polynomial equation that has zeros: 0, -3, 2, 2

Answer 1

(x-0)(x-(-3))(x-2)(x-2)

expand

Answer 2

good, also if given a set of roots {r1,r2,r3,...,rn} a poly can be formed by subtracting "x" from each root to make a factor

(r1-x)(r2-x)(r3-x)...(rn-x)

the only caveat is that some like a poly to have a postive leading term so you might need to swap signs afterwards