It would help if you proofread your questions before you posted them.
What "given zeros"?
Find a polynomial function P(x) with the given zeros. There is no unique answer for 1,0,-1 p(x)=
2 answers
p(x) = (x-1)(x-0)(x+1) = x(x^2-1) = ___
Extra credit: why is this not unique?
Extra credit: why is this not unique?