CPM Homework Help : PC3 Problem 6-22

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6-22.

Complete the following division problems. Express any remainder as a fraction.

$(x^3+x^2−14x+2)\div(x−3)$
Steps (a):
$\left. \begin{array} { c } { x - 3 \longdiv { x ^ { 3 } + x ^ { 2 } - 1 4 x + 2 } } \\ { - \frac { ( x ^ { 3 } - 3 x ^ { 2 } ) } { 4 x ^ { 2 } - 14 x } } \end{array} \right.$

$\large{\frac { 6 x ^ { 4 } + 5 x ^ { 3 } - 11 x ^ { 2 } + x - 24 } { 2 x - 3 }}$

Steps (b):

Generic Rectangle, 2 by 5	Top edge, left, $3x^3$
Left edge top $2x$	Interior top first column $6x^4$	Interior top second column $14x^3$	Interior top third column blank	Interior top fourth column blank	Interior top fifth column blank
Left edge bottom $-3$	Interior bottom first column $-9x^3$	Interior bottom second column blank	Interior bottom third column blank	Interior bottom fourth column blank	Interior bottom fifth column blank
$6x^4$	$+5x^3$	$-11x^2$	$+x$	$-24$

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