Q 5.83

Use synthetic division to find the quotient and remainder when $3 x^{3} + 10 x^{2} + 6 x - 2$ is divided by $x + 2$

Verified

Answer

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

1Step 1. Given information

$3 x^{3} + 10 x^{2} + 6 x - 2$ is divided by $x + 2$

2Step 2. Divide the polynomial

Write the problem in the division format

Perform the Synthetic division

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