Chapter 8: Factoring and Quadratic Equations

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

$\underset{¯}{x^2+5x+6}$is an example of a prime polynomial.

Factor each monomial completely.

$\mathbf{16}{x}^3{y}^2$

Rewrite each expression using the Distributive Property. Then simplify.

$a\left(a+\mathbf{5}\right)$

GRIDDED RESPONSE Mr. Branson bought a total of 9 tickets to the zoo. He bought children tickets at the rate of $6.50 and adult tickets for $9.25 each. If he spent $69.50 altogether, how many adult tickets did Mr. Branson purchase?

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

The greatest common factor of$\mathbf{8}\mathit{x}$and $\mathbf{4}{\mathit{x}}^{\mathbf{2}}$is$\underset{\mathbf{¯}}{\mathbf{4}\mathbf{x}}$.

Factor each monomial completely.

$\mathbf{28}{\mathit{x}}^{\mathbf{3}}$.

What is the domain of the following relation?

$\left\{\left(\mathbf{2}\mathbf{,}-\mathbf{1}\right),\left(4,3\right),\left(7,6\right)\right\}$

Lawrence just added 15 more songs to his MP3 player, making the total number of songs more than 84. Draw a number line that represents the original number of songs he had on his MP3 player.

Factor each polynomial.

$\mathbf{3}{x}^2+\mathbf{6}x+x+\mathbf{2}$

Factor each monomial completely.

$120mq$.