Factor. t^2 - 8t + 7 ______

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 7. Step Calculation: Coefficients are 1, -8, 7 Step Output: Coefficients: 1, -8, 7Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to 7 (the last term) and add to -8 (the coefficient of the middle term). Step Calculation: Factors of 7 that add up to -8 are -1 and -7. Step Output: Factors: -1, -7Write 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 (t - 1)(t - 7). Step Output: Factored Form: (t - 1)(t - 7)

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Q. Factor.

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t^2 - 8t + 7

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 $7$ . $\newline$ Step Calculation: Coefficients are $1$ , $-8$ , $7$ $\newline$ Step Output: Coefficients: $1$ , $-8$ , $7$
Find Factors: Step Title: Find the Factors $\newline$ Concise Step Description: Find two numbers that multiply to $7$ (the last term) and add to $-8$ (the coefficient of the middle term). $\newline$ Step Calculation: Factors of $7$ that add up to $-8$ are $-1$ and $-7$ . $\newline$ Step Output: Factors: $-1$ , $-7$
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 $(t - 1)(t - 7)$ . $\newline$ Step Output: Factored Form: $(t - 1)(t - 7)$