Factor. w^2 + 24w + 23 ____

Identify Coefficients: Identify the coefficients for w^2, w, and the constant term in the quadratic expression w^2 + 24w + 23. The coefficient of w^2 is 1 (a = 1), the coefficient of w 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 w, 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 using the two numbers found in the previous step. The factored form of the quadratic expression is (w + 1)(w + 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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w^2 + 24w + 23

Identify Coefficients: Identify the coefficients for $w^2$ , $w$ , and the constant term in the quadratic expression $w^2 + 24w + 23$ . The coefficient of $w^2$ is $1$ ( $a = 1$ ), the coefficient of $w$ is $24$ ( $b = 24$ ), and the constant term is $23$ ( $w$ $0$ ).
Find Multiplying Numbers: Find two numbers that multiply to give the constant term, $c = 23$ , and add up to the coefficient of $w$ , $b = 24$ . 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 using the two numbers found in the previous step. The factored form of the quadratic expression is $(w + 1)(w + 23)$ .