2. Find a polynomial function p(t) with integer coefficients that satisfy the given conditions.

a: p(t) has degree 2 and zeros at t=−1 and t= 1 with y-intercept y= 4.

b: p(t) has degree 5 and zeros at t= 0, t= 2, and t=−4, with the multiplicity of t= 2 is 3.

c: p(t) has degree 3 and zeros at t= 3, t= 2i, and t=−2i. Make sure that p(t) in your final answer has real coefficients.

d: p(t) has degree 3 and zeros at t= 0 and t= 3−2i. Make sure that p(t) in your final answer has real coefficients.