Factor. z^2 - 24z + 23 ______

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, -24, and 23. Step Calculation: Coefficients are 1, -24, 23 Step Output: Coefficients: 1, -24, 23Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to 23 (the last term) and add to -24 (the coefficient of the middle term). Step Calculation: Factors of 23 that add up to -24 are -1 and -23. Step Output: Factors: -1, -23Write 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 (z - 1)(z - 23). Step Output: Factored Form: (z - 1)(z - 23)

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Q. Factor.

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z^2 - 24z + 144

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 $1$ , $-24$ , and $23$ . $\newline$ Step Calculation: Coefficients are $1$ , $-24$ , $23$ $\newline$ Step Output: Coefficients: $1$ , $-24$ , $23$
Find Factors: Step Title: Find the Factors $\newline$ Concise Step Description: Find two numbers that multiply to $23$ (the last term) and add to $-24$ (the coefficient of the middle term). $\newline$ Step Calculation: Factors of $23$ that add up to $-24$ are $-1$ and $-23$ . $\newline$ Step Output: Factors: $-1$ , $-23$
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 $(z - 1)(z - 23)$ . $\newline$ Step Output: Factored Form: $(z - 1)(z - 23)$