Use the remainder theorem
posted by Alley .
Use the remainder theorem to find the remainder when f(x) is divided by x+2 whether x+2 is a factor of f(x)
f(x)=2x^68x^4+x^25
Remainder is=

remainder is=f(2)
f(2)=2(2)^68(2)^4+(2)^25
=3
so (x+2) is not a factor of f(x)