Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample pr
oblem 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.
<span>we know that the remainder is zero, because we constructed it that way. To make that a fraction where the divisor is NOT a factor, just change any of the coefficients. Then the divisor will no longer go in evenly.</span>