Q 5.84 - Intermediate Algebra

Question

Use synthetic division to find the quotient and remainder when $4x^3 + 5x^2- 5x + 3$ is divided by $x + 2.$

Step-by-Step Solution

Answer

The quotient is $4x^2-3x+1$ and the remainder is 1.

Step 1. Given information

$4x^3 + 5x^2- 5x + 3$ is divided by  $x+2$

Step 2. Divide the polynomial

Write the problem in the division format 

Perform the Synthetic division 

The quotient is $4x^2-3x+1$ and the remainder is $1$