Identify Coefficients: Step Title: Identify the Coefficients Reasoning: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are 1, -8, and 15. Calculation: Coefficients are 1, -8, 15Find Factors: Step Title: Find the Factors Reasoning: Find two numbers that multiply to 15 (the last term) and add to -8 (the coefficient of the middle term). Calculation: Factors of 15 that add up to -8 are -3 and -5.Write Factored Form: Step Title: Write the Factored Form Reasoning: Write the factored form of the quadratic equation using the factors found in the previous step. Calculation: The factored form is (g - 3)(g - 5).

Algebra 2

Factor polynomials

Full solution

Q. Factor.

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g^{2}-8 g+15

Identify Coefficients: Step Title: Identify the Coefficients $\newline$ Reasoning: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are $1$ , $-8$ , and $15$ . $\newline$ Calculation: Coefficients are $1$ , $-8$ , $15$
Find Factors: Step Title: Find the Factors $\newline$ Reasoning: Find two numbers that multiply to $15$ (the last term) and add to $-8$ (the coefficient of the middle term). $\newline$ Calculation: Factors of $15$ that add up to $-8$ are $-3$ and $-5$ .
Write Factored Form: Step Title: Write the Factored Form $\newline$ Reasoning: Write the factored form of the quadratic equation using the factors found in the previous step. $\newline$ Calculation: The factored form is $(g - 3)(g - 5)$ .