Question

Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that has a binomial which is NOT a factor of the polynomial being divided.

Answer 1

if you divide a polynomial by a binomial and the remainder become zero then the binomial is the factor of polynomial.
but if the remainder is not zero then its not the factor