# How do you determine whether x+2 is a factor of the polynomial #3x^4+5x^3+x-2#?

##### 1 Answer

Apr 27, 2017

Have you ever done long or synthetic division? Both are good options, but difficult to "type" an answer to demonstrate.

#### Explanation:

Another great option would be to evaluate f(-2):

=

=

Since the answer is 4, that means there would be a remainder of 4 when we would divide the polynomial by x+ 2. It is not a factor.