Question 588876
If the zero of the binomial is a zero of the polynomial, the binomial is a factor of the polynomial.
For example, {{{x-1}}} is a factor of
{{{P(x)=57x^7-23x^6+48x^5-76x^4+11x^3-15x^2+4x-6}}} because
{{{x=1}}} is the zero of {{{x-1}}} and
{{{P(1)=57-23+48-76+11-15+4-6=0}}}