Chapter 5.1, Problem 70E

To determine

To find: The remainder if $x^3+8x+1$ is divided by $x-2$ using the Remainder Theorem.

Answer to Problem 70E

  $\text{Remainder = 25}$

Explanation of Solution

Given information: $x^3+8x+1$ is divided by $x-2$

Calculation:

The Remainder Theorem says if we divide one polynomial by x − a, the remainder is the value of the polynomial if we had replaced x with r and solved it.

Synthetic division that gives us a remainder of 25 if you need to review synthetic division and the Remainder Theorem

Thus,

Remainder = 25