$(9 x-5 y)(9 x+5 y) \quad 81 x^{2}-25 y^{2}$ $\newline$ $3$ . $5$ points $\newline$ Factor the polynomial completely. If the polynomial is prime, write prime for your answer. Be sure to include parentheses in your answer and do not use ar spaces. The order of your factors does not matter. $\newline$ $30 x^{2}+25 x-20$ $\newline$ type your answer... $\newline$ $3$ . $5$ points $\newline$ Factor the polynomial completely. If the polynomial is prime, write prime for your answer. Be sure to include parentheses in your answer and do not use a spaces. The order of your factors does not matter.

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Algebra 2

Interpret parts of quadratic expressions: word problems

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(9 x-5 y)(9 x+5 y) \quad 81 x^{2}-25 y^{2}

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3

5

points

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Factor the polynomial completely. If the polynomial is prime, write prime for your answer. Be sure to include parentheses in your answer and do not use ar spaces. The order of your factors does not matter.

\newline

30 x^{2}+25 x-20

\newline

type your answer...

\newline

3

5

points

\newline

Factor the polynomial completely. If the polynomial is prime, write prime for your answer. Be sure to include parentheses in your answer and do not use a spaces. The order of your factors does not matter.

Identify Formula for Total Revenue: Identify the formula for total revenue. $\newline$ Total revenue = $\text{Price} \times \text{Quantity}$
Analyze Given Expression: Analyze the given expression $p(64 - 2p)$ . Recognize that $p$ is the price per pizza.
Determine Representation of $64 - 2p$ : Determine what $64 - 2p$ represents. $\newline$ Since total revenue is price times quantity, $64 - 2p$ must be the quantity of pizzas sold.
Recognize Difference of Squares: Recognize the first expression as a difference of squares. $\newline$ $(9x-5y)(9x+5y) = 81x^2 - 25y^2$
Factor Second Polynomial: Factor the second polynomial by looking for common factors and using the AC method. $\newline$ Find the factors of $-600$ $(30 \times -20)$ that add up to $25$ .
Identify Factors as $40$ and $-15$ : Identify the factors as $40$ and $-15$ . $\newline$ Rewrite the middle term using these factors. $\newline$ $30x^2 + 40x - 15x - 20$
Rewrite Middle Term: Factor by grouping. $\newline$ $(30x^2 + 40x) - (15x + 20)$
Factor by Grouping: Factor out the common factors from each group. $10x(3x + 4) - 5(3x + 4)$
Factor Out Common Factors: Factor out the common binomial factor. $\newline$ $(10x - 5)(3x + 4)$