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

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): $3 {\left(- 2\right)}^{4} + 5 {\left(- 2\right)}^{3} + \left(- 2\right) - 2$
= $3 \left(16\right) + 5 \left(- 8\right) - 4$
=$48 - 44$ = 4.

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.