Factor. x^(2)-10 x+21 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, -10, and 21. Step Calculation: Coefficients are 1, -10, 21 Step Output: Coefficients: 1, -10, 21Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to 21 (the last term) and add to -10 (the coefficient of the middle term). Step Calculation: Factors of 21 that add up to -10 are -3 and -7. Step Output: Factors: -3, -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 (x - 3)(x - 7). Step Output: Factored Form: (x - 3)(x - 7)

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Q. Factor.

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x^{2}-10 x+21

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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 $1$ , $-10$ , and $21$ . $\newline$ Step Calculation: Coefficients are $1$ , $-10$ , $21$ $\newline$ Step Output: Coefficients: $1$ , $-10$ , $21$
Find Factors: Step Title: Find the Factors $\newline$ Concise Step Description: Find two numbers that multiply to $21$ (the last term) and add to $-10$ (the coefficient of the middle term). $\newline$ Step Calculation: Factors of $21$ that add up to $-10$ are $-3$ and $-7$ . $\newline$ Step Output: Factors: $-3$ , $-7$
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 $(x - 3)(x - 7)$ . $\newline$ Step Output: Factored Form: $(x - 3)(x - 7)$