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, -9, and 12. Step Calculation: Coefficients are 1, -9, 12 Step Output: Coefficients: 1, -9, 12Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to 12 (the last term) and add to -9 (the coefficient of the middle term). Step Calculation: Factors of 12 that add up to -9 are -3 and -6. Step Output: Factors: -3, -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 - 3)(x - 6). Step Output: Factored Form: (x - 3)(x - 6)

Algebra 2

Factor polynomials

Full solution

x^{2}-9 x+12

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 $1$ , $-9$ , and $12$ . $\newline$ Step Calculation: Coefficients are $1$ , $-9$ , $12$ $\newline$ Step Output: Coefficients: $1$ , $-9$ , $12$
Find Factors: Step Title: Find the Factors $\newline$ Concise Step Description: Find two numbers that multiply to $12$ (the last term) and add to $-9$ (the coefficient of the middle term). $\newline$ Step Calculation: Factors of $12$ that add up to $-9$ are $-3$ and $-6$ . $\newline$ Step Output: Factors: $-3$ , $-6$
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 $(x - 3)(x - 6)$ . $\newline$ Step Output: Factored Form: $(x - 3)(x - 6)$