Factor. x^(2)-12 x+35 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, -12, and 35. Step Calculation: Coefficients are 1, -12, 35 Step Output: Coefficients: 1, -12, 35Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to 35 (the last term) and add to -12 (the coefficient of the middle term). Step Calculation: Factors of 35 that add up to -12 are -5 and -7. Step Output: Factors: -5, -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 - 5)(x - 7). Step Output: Factored Form: (x - 5)(x - 7)

Home

Math Problems

Algebra 2

Factor polynomials

Full solution

Q. Factor.

\newline

x^{2}-12 x+35

\newline

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 $1$ , $-12$ , and $35$ . $\newline$ Step Calculation: Coefficients are $1$ , $-12$ , $35$ $\newline$ Step Output: Coefficients: $1$ , $-12$ , $35$
Find Factors: Step Title: Find the Factors $\newline$ Concise Step Description: Find two numbers that multiply to $35$ (the last term) and add to $-12$ (the coefficient of the middle term). $\newline$ Step Calculation: Factors of $35$ that add up to $-12$ are $-5$ and $-7$ . $\newline$ Step Output: Factors: $-5$ , $-7$
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 $(x - 5)(x - 7)$ . $\newline$ Step Output: Factored Form: $(x - 5)(x - 7)$