Chapter 8, Problem 4CT

To determine

To find: the quotient by synthetic division.

Answer to Problem 4CT

Thequotient is $x^3+4-\frac{3}{x+2}$ .

Explanation of Solution

Given information:

The polynomial is $x^4+2x^3+4x+5$ divide by $x+2$ .

Calculation: to find the quotient use the synthetic division,

$-2$	$1$	$2$	$0$	$4$	$5$
		$-2$	$0$	$0$	$-8$
	$1$	$0$	$0$	$4$	$-3$

Thus, the quotient is $x^3+4-\frac{3}{x+2}$ .