Question

1. 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

\[f(x)=ax ^{3}+bx ^{2}+cx+3\]

Answer 2

for x+2 to be a factor of the polynomial then

\[f(-2)=0\]

Answer 3

x=-2 so f(-2) should equal=0