Question

If f(x)=5x^6-2x^2-5, then what is the remainder when f(x) is divided by x+2?

Answer 1

To find the remainder when f(x) is divided by (x-a) , we substitute x = a in the polynomial f(x) and we get the remainder.

remainder = f(a)

In this case, we have f(x)=5x^6-2x^2-5, and x+2 is the divisor and we substitute x=-2

so, remainder = f(-2) = 5*(-2)^6-2*(-2)^2-5 = -643

So, the remainder when f(x) is divided by x+2 is -643