Find a polynomial y = p(x) of degree 4 that goes through the points (0, 4), (1, 2), (2, -4), (3, -8), (4, 8).

A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is counted m times.

Find a fourth-degree polynomial function f with real coefficients that has 2, 2, and 7i as zeros.

Find the cubic polynomial function f with real coefficients that has 1 and 2+i as zeros, and f2=2.