### Home > INT3 > Chapter 8 > Lesson 8.3.1 > Problem8-101

8-101.

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.

1. $P(x) = 2x^4 - x^2 + 3x + 5$
$D(x) = x - 1$

 Left edge top is $x$ Interior $2x^4$ Interior is blank Interior is blank Interior is blank Left edge bottom is $-1$ Interior is blank Interior is blank Interior is blank Interior $5$

$P(x)=(x-1)(2x^3+2x^2+x+4)+9$

1. $P(x) = x^5 - 2x^3 + 1$
$D(x) = x - 3$

$P(x) = x^5 + 0x^4 - 2x^3 + 0x^2 + 0x + 1$