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.


Another great option would be to evaluate f(-2): #3(-2)^4+5(-2)^3+(-2)-2#
= #3(16)+5(-8)-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.