### Practice Test

In the following exercises, find the Greatest Common Factor in each expression.

$\mathrm{\xe2\u02c6\u20196}{x}^{2}\xe2\u02c6\u201930x$

$5m\left(m\xe2\u02c6\u20191\right)+3\left(m\xe2\u02c6\u20191\right)$

In the following exercises, factor completely.

${p}^{2}+pq\xe2\u02c6\u201912{q}^{2}$

${s}^{2}\xe2\u02c6\u201925s+84$

$64{y}^{2}\xe2\u02c6\u201949$

$40{r}^{2}+810$

${n}^{2}+12n+36$

$6{x}^{2}\xe2\u02c6\u201911x\xe2\u02c6\u201910$

${c}^{3}\xe2\u02c6\u20191000{d}^{3}$

$6{u}^{2}+3u\xe2\u02c6\u201918$

In the following exercises, solve.

${x}^{2}+9x+20=0$

$5{a}^{2}+26a=24$

$16\xe2\u02c6\u2019{m}^{2}=0$

$\left(x\xe2\u02c6\u20193\right)\left(x+2\right)=6$

The area of a rectangular place mat is $168$ square inches. Its length is two inches longer than the width. Find the length and width of the place mat.