### Practice Test

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

$\mathrm{-6}{x}^{2}-30x$

$5m\left(m-1\right)+3\left(m-1\right)$

In the following exercises, factor completely.

${p}^{2}+pq-12{q}^{2}$

${s}^{2}-25s+84$

$64{y}^{2}-49$

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

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

$6{x}^{2}-11x-10$

${c}^{3}-1000{d}^{3}$

$6{u}^{2}+3u-18$

In the following exercises, solve.

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

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

$16-{m}^{2}=0$

$\left(x-3\right)\left(x+2\right)=6$

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.