Question

If p(x) is a polynomial such that p (4) = 0,could x=4 be a factor of p(x)? Explain.

Answer 1

Given:

P(x) be the polynomial such that p(4)=0.

As we know that p(x)=0 only when x is the root of polynomial.

It shows x=4 is the zero ( root) of the polynomail p(x).

Hence, (x-4) is the factor of the polynomial p(x).