Factor. q^2 + 8q + 16 ______

Identify Coefficients: Step Title: Identify the Coefficients Concise Step Description: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are 1, 8, and 16. Step Calculation: Coefficients are 1, 8, 16 Step Output: Coefficients: 1, 8, 16Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to 16 (the last term) and add to 8 (the coefficient of the middle term). Step Calculation: Factors of 16 that add up to 8 are 4 and 4. Step Output: Factors: 4, 4Write Factored Form: Step Title: Write the Factored Form Concise Step Description: Write the factored form of the quadratic equation using the factors found in the previous step. Step Calculation: The factored form is (q + 4)(q + 4), which can also be written as (q + 4)^2. Step Output: Factored Form: (q + 4)^2

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Q. Factor.

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q^2 + 8q + 16

Identify Coefficients: Step Title: Identify the Coefficients $\newline$ Concise Step Description: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are $1$ , $8$ , and $16$ . $\newline$ Step Calculation: Coefficients are $1$ , $8$ , $16$ $\newline$ Step Output: Coefficients: $1$ , $8$ , $16$
Find Factors: Step Title: Find the Factors $\newline$ Concise Step Description: Find two numbers that multiply to $16$ (the last term) and add to $8$ (the coefficient of the middle term). $\newline$ Step Calculation: Factors of $16$ that add up to $8$ are $4$ and $4$ . $\newline$ Step Output: Factors: $4$ , $4$
Write Factored Form: Step Title: Write the Factored Form $\newline$ Concise Step Description: Write the factored form of the quadratic equation using the factors found in the previous step. $\newline$ Step Calculation: The factored form is $(q + 4)(q + 4)$ , which can also be written as $(q + 4)^2$ . $\newline$ Step Output: Factored Form: $(q + 4)^2$