Factor. m^2 + 23m + 22 ____

Identify Coefficients: Identify the coefficients for m^2, m, and the constant term in the quadratic expression m^2 + 23m + 22. The coefficient of m^2 is 1 (implied), the coefficient of m is 23, and the constant term is 22.Find Multiplying Numbers: Find two numbers that multiply to give the constant term, 22, and add up to the coefficient of m, which is 23. The numbers 1 and 22 multiply to give 22 (1 * 22 = 22) and add up to 23 (1 + 22 = 23).Write Factored Form: Write the factored form of the quadratic expression using the two numbers found in the previous step. The factored form is (m + 1)(m + 22).

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Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

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Q. Factor.

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m^2 + 23m + 22

Identify Coefficients: Identify the coefficients for $m^2$ , $m$ , and the constant term in the quadratic expression $m^2 + 23m + 22$ . The coefficient of $m^2$ is $1$ (implied), the coefficient of $m$ is $23$ , and the constant term is $22$ .
Find Multiplying Numbers: Find two numbers that multiply to give the constant term, $22$ , and add up to the coefficient of $m$ , which is $23$ . The numbers $1$ and $22$ multiply to give $22$ ( $1 \times 22 = 22$ ) and add up to $23$ ( $1 + 22 = 23$ ).
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 $(m + 1)(m + 22)$ .