Chapter 8, Problem 6CR

To determine

To find: the remainder by synthetic division.

Answer to Problem 6CR

Theremainder is $-3$ .

Explanation of Solution

Given information:

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

Calculation: to find the reminder use the synthetic division,

$-2$	$1$	$4$	$0$	$-5$	$3$
		$-2$	$-4$	$8$	$-6$
	$1$	$2$	$-4$	$3$	$-3$

Thus, the remainder is $-3$ .