Q 5.86 - Intermediate Algebra

Question

Use synthetic division to find the quotient and remainder when $x^{4 }- 9x^2 + 2x + 6$ is divided by $x + 3.$

Step-by-Step Solution

Answer

The quotient is $x^3-3x^2+0x+2$ and the remainder is 0

Step 1. Given information

$x^{4 }- 9x^2 + 2x + 6$ is divided by $x+3$

Step 2. Divide the polynomial

Write the problem in the division format  

Perform the Synthetic division   

The quotient is $x^3-3x^2+0x+2$ and the remainder is $0$