Factor. x^(2)+18 x+81 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, 18, and 81. Step Calculation: Coefficients are 1, 18, 81 Step Output: Coefficients: 1, 18, 81Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to 81 (the last term) and add to 18 (the coefficient of the middle term). Step Calculation: Factors of 81 that add up to 18 are 9 and 9. Step Output: Factors: 9, 9Write 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 + 9), which can also be written as (x + 9)^2. Step Output: Factored Form: (x + 9)^2

Home

Math Problems

Algebra 2

Factor polynomials

Full solution

Q. Factor.

\newline

x^{2}+18 x+81

\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 $1$ , $18$ , and $81$ . $\newline$ Step Calculation: Coefficients are $1$ , $18$ , $81$ $\newline$ Step Output: Coefficients: $1$ , $18$ , $81$
Find Factors: Step Title: Find the Factors $\newline$ Concise Step Description: Find two numbers that multiply to $81$ (the last term) and add to $18$ (the coefficient of the middle term). $\newline$ Step Calculation: Factors of $81$ that add up to $18$ are $9$ and $9$ . $\newline$ Step Output: Factors: $9$ , $9$
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 $(x + 9)(x + 9)$ , which can also be written as $(x + 9)^2$ . $\newline$ Step Output: Factored Form: $(x + 9)^2$