Factor. x^(2)+3x-54 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, 3, and -54. Step Calculation: Coefficients are 1, 3, -54 Step Output: Coefficients: 1, 3, -54Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to -54 (the last term) and add to 3 (the coefficient of the middle term). Step Calculation: Factors of -54 that add up to 3 are 9 and -6. Step Output: Factors: 9, -6Write 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 + 9)(x - 6). Step Output: Factored Form: (x + 9)(x - 6)

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Q. Factor.

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x^{2}+3 x-54

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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 $1$ , $3$ , and $-54$ . $\newline$ Step Calculation: Coefficients are $1$ , $3$ , $-54$ $\newline$ Step Output: Coefficients: $1$ , $3$ , $-54$
Find Factors: Step Title: Find the Factors $\newline$ Concise Step Description: Find two numbers that multiply to $-54$ (the last term) and add to $3$ (the coefficient of the middle term). $\newline$ Step Calculation: Factors of $-54$ that add up to $3$ are $9$ and $-6$ . $\newline$ Step Output: Factors: $9$ , $-6$
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 $(x + 9)(x - 6)$ . $\newline$ Step Output: Factored Form: $(x + 9)(x - 6)$