91Ó°ÊÓ

Solve each equation. Check your solutions.

$x\left(3x−6\right)=0$

Solve each equation. Check your solutions.

$6x^2=12x$

Solve each equation. Check your solutions.

${\mathit{x}}^{\mathbf{2}}\mathbf{=}\mathbf{3}\mathit{x}$.

State whether each sentence is true or false. If false, replace the underlined phrase or expression to make a true sentence.

$\underset{¯}{5x}$is the greatest common factor of$10x$and$15x{y}^2$.

Factor each monomial completely.

$−\mathbf{20}{m}^5{n}^2$

Rewrite each expression using the Distributive Property. Then simplify.

$n\left(n−\mathbf{3}{n}^2+\mathbf{2}\right)$

Factor the polynomial $mn+\mathbf{5}m−\mathbf{3}n−\mathbf{15}$.

A$\left(mn−\mathbf{3}\right)\left(5\right)$

B$\left(n−\mathbf{3}\right)\left(m+\mathbf{5}\right)$

C$\left(m−\mathbf{5}\right)\left(n+\mathbf{3}\right)$

D$\left(m−\mathbf{3}\right)\left(n+\mathbf{5}\right)$

The area of a rectangle shown is ${\mathit{x}}^{\mathbf{3}}\mathbf{−}\mathbf{2}{\mathit{x}}^{\mathbf{2}}\mathbf{+}\mathbf{5}\mathit{x}$square units. What is the length?

Factor each trinomial.${\mathit{x}}^{\mathbf{2}}\mathbf{−}\mathbf{8}\mathit{x}\mathbf{+}\mathbf{15}$.

Solve each equation. Check your solutions.${\mathit{x}}^{\mathbf{2}}\mathbf{+}\mathbf{5}\mathit{x}\mathbf{−}\mathbf{50}\mathbf{=}\mathbf{0}$.