Question

Use the Remainder Theorem to find the remainder: (16x^4 – 8x^3 – 4x + 1) ÷ (2x + 1)

3
1
-1
5

Answer 1

5

Explanation:

This illustrates the Remainder Theorem. If a polynomial f(x) is divided by x−a , the remainder is the constant f(a) , and f(x)=q(x)⋅(x−a)+f(a) , where q(x) is a polynomial with degree one less than the degree of f(x) . Synthetic division is a simpler process for dividing a polynomial by a binomial.