Question

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^6-8x^4+x^2-5
Remainder is=

Answer 1

remainder is=f(-2)

f(-2)=2(-2)^6-8(-2)^4+(-2)^2-5
=-3

so (x+2) is not a factor of f(x)