Factor. x^(2)-5x+6 Answer:

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, -5, and 6. Step Calculation: Coefficients are 1, -5, 6 Step Output: Coefficients: 1, -5, 6Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to 6 (the last term) and add to -5 (the coefficient of the middle term). Step Calculation: Factors of 6 that add up to -5 are -2 and -3. Step Output: Factors: -2, -3Write 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 (x - 2)(x - 3). Step Output: Factored Form: (x - 2)(x - 3)

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Q. Factor.

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x^{2}-5 x+6

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Answer:

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 $1$ , $-5$ , and $6$ . $\newline$ Step Calculation: Coefficients are $1$ , $-5$ , $6$ $\newline$ Step Output: Coefficients: $1$ , $-5$ , $6$
Find Factors: Step Title: Find the Factors $\newline$ Concise Step Description: Find two numbers that multiply to $6$ (the last term) and add to $-5$ (the coefficient of the middle term). $\newline$ Step Calculation: Factors of $6$ that add up to $-5$ are $-2$ and $-3$ . $\newline$ Step Output: Factors: $-2$ , $-3$
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 $(x - 2)(x - 3)$ . $\newline$ Step Output: Factored Form: $(x - 2)(x - 3)$