Factor. n^2 + 24n + 23 ____

Identify Coefficients: Identify the coefficients for n^2, n, and the constant term in the quadratic expression n^2 + 24n + 23. The coefficient of n^2 is 1 (a = 1), the coefficient of n is 24 (b = 24), and the constant term is 23 (c = 23).Find Multiplying Numbers: Find two numbers that multiply to give the constant term, c = 23, and add up to the coefficient of the n term, b = 24. The numbers that satisfy these conditions are 1 and 23 because 1 * 23 = 23 and 1 + 23 = 24.Write Factored Form: Write the factored form of the quadratic expression using the two numbers found in the previous step. The factored form is (n + 1)(n + 23).

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

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n^2 + 24n + 23

Identify Coefficients: Identify the coefficients for $n^2$ , $n$ , and the constant term in the quadratic expression $n^2 + 24n + 23$ . The coefficient of $n^2$ is $1$ ( $a = 1$ ), the coefficient of $n$ is $24$ ( $b = 24$ ), and the constant term is $23$ ( $n$ $0$ ).
Find Multiplying Numbers: Find two numbers that multiply to give the constant term, $c = 23$ , and add up to the coefficient of the $n$ term, $b = 24$ . The numbers that satisfy these conditions are $1$ and $23$ because $1 \times 23 = 23$ and $1 + 23 = 24$ .
Write Factored Form: Write the factored form of the quadratic expression using the two numbers found in the previous step. $\newline$ The factored form is $(n + 1)(n + 23)$ .