# A general Polynomial question,which needs to be proved

Let $$P(x) = a_nx^n + ….. a_1x + a_0$$

Let $$g(x) = b_nx^n + ….. b_1x + b_0$$

if $$alpha$$ is a common zero of the given two polynomials

prove that (P($$alpha$$)-g($$alpha$$)) is a factor of p(x)