Question

Use synthetic division to find the quotient and remainder when x3+x2−16x−12 is divided by x+1.

Answer 1

Given:

The equation is,

$x^3+x^2-16x-12\text{ is divided by x+1}$

To find the quotient and remainder for

$\frac{x^3+x^2-16x-12}{\text{x+1}}$

By the synthetic division,

Hence, quotient is (x²-16) and remainder is 4.