Question

If f(x)=2x^4 +3x^2 −3, then what is the remainder when f(x) is divided by x−1?

Answer 1

By the Remainder Theorem, the remainder is f(1). Compute f(1) = 2(1)^4 + 3(1)^2 − 3 = 2 + 3 − 3 = 2.

Answer: 2.