Factor. x^(2)+9x+14 Answer:

Identify Coefficients: Identify the Coefficients Reasoning: Look at the numbers in front of the variables and the constant term. Calculation: Coefficients are 1, 9, 14.Find Factors: Find the Factors Reasoning: Need two numbers that multiply to 14 (the constant term) and add to 9 (the coefficient of the middle term). Calculation: Factors of 14 that add up to 9 are 2 and 7.Write Factored Form: Write the Factored Form Reasoning: Use the factors to write the quadratic in its factored form. Calculation: The factored form is (x + 2)(x + 7).

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Factor. $\newline$ $x^{2}+9 x+14$ $\newline$ Answer:

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Q. Factor.

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x^{2}+9 x+14

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Answer:

Identify Coefficients: Identify the Coefficients $\newline$ Reasoning: Look at the numbers in front of the variables and the constant term. $\newline$ Calculation: Coefficients are $1$ , $9$ , $14$ .
Find Factors: Find the Factors $\newline$ Reasoning: Need two numbers that multiply to $14$ (the constant term) and add to $9$ (the coefficient of the middle term). $\newline$ Calculation: Factors of $14$ that add up to $9$ are $2$ and $7$ .
Write Factored Form: Write the Factored Form $\newline$ Reasoning: Use the factors to write the quadratic in its factored form. $\newline$ Calculation: The factored form is $(x + 2)(x + 7)$ .