CPM Homework Help : A2C Problem 13-111

Divide each of the following polynomials, $P(x)$ , by $D(x)$ to find the quotient $Q(x)$ and then rewrite the polynomial in the form $P(x) = D(x) · Q(x) + R$ , where $R$ is the remainder.

$P(x) = 2x^4 - x^2 + 3x + 5$
$D(x) = x - 1$
Step (a):
$x$
$2x^4$
$-1$
$5$
Answer (a):
$P(x)=(x-1)(2x^3+2x^2+x+4)+9$

$P(x) = x^5 - 2x^3 + 1$
$D(x) = x - 3$
Hint (b):
$P(x) = x^5 + 0x^4 - 2x^3 + 0x^2 + 0x + 1$

$x$	$2x^4$
$-1$				$5$