91Ó°ÊÓ

Factor each monomial completely.$\mathbf{−}\mathbf{13}\mathit{x}{\mathit{y}}^{\mathbf{3}}$

Which of the following is a solution to $x^2+\mathbf{6}x−\mathbf{112}=\mathbf{0}$?

F$−\mathbf{14}$

G$-\mathbf{6}$

H 6

J 12

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

$\mathbf{(}\mathbf{x}\mathbf{+}\mathbf{5}\mathbf{)}\mathbf{(}\mathbf{x}\mathbf{−}\mathbf{2}\mathbf{)}$is the factored form of${\mathit{x}}^{\mathbf{2}}\mathbf{−}\mathbf{3}\mathit{x}\mathbf{−}\mathbf{10}$.

Rewrite each expression using the Distributive Property. The simplify,

$\mathbf{−}\mathbf{6}\mathbf{(}{\mathbf{x}}^{\mathbf{2}}\mathbf{−}\mathbf{5}\mathbf{x}\mathbf{+}\mathbf{6}\mathbf{)}$

Factor each trinomial, if possible. If the trinomial cannot be factored, write prime.

$\mathbf{12}{\mathit{x}}^{\mathbf{2}}\mathbf{+}\mathbf{22}\mathit{x}\mathbf{−}\mathbf{14}$.

Solve each equation. Check your solutions.$\mathbf{40}{\mathit{x}}^{\mathbf{2}}\mathbf{+}\mathbf{2}\mathit{x}\mathbf{=}\mathbf{24}$.

Which of the following polynomials is prime?

A$\mathbf{5}{x}^2+\mathbf{34}x+\mathbf{24}$

B$\mathbf{4}{x}^2+\mathbf{22}x+\mathbf{10}$

C$\mathbf{4}{x}^2+\mathbf{38}x+\mathbf{70}$

D$\mathbf{5}{x}^2+\mathbf{3}x+\mathbf{4}$

Factor each polynomial.

${\mathit{y}}^{\mathbf{2}}\mathbf{−}\mathbf{81}$.

Solve each equation by factoring. Check your solutions.

${\mathit{a}}^{\mathbf{2}}\mathbf{−}\mathbf{25}\mathbf{=}\mathbf{0}$.

Factor each polynomial, if possible. If the polynomial cannot be factored, write prime.

${\mathit{x}}^{\mathbf{2}}\mathbf{+}\mathbf{12}\mathit{x}\mathbf{+}\mathbf{36}$.