Q 5.85 - Intermediate Algebra

Question

Use synthetic division to find the quotient and remainder when $x^4 - 16x^2 + 5x + 20$ is divided by $x + 4$.

Step-by-Step Solution

Answer

The quotient is $x-4x^2+0x+5$ and the remainder is 0

Step 1. Given information

$x^4 - 16x^2 + 5x + 20$ is divided by $x+4$

Step 2. Divide the polynomial

Write the problem in the division format  

Perform the Synthetic division  

The quotient is $x^3-4x^2+0x+5$ and the remainder is $0$