Factor. 2m^2 + 13m + 11 ____

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Identify Coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is in the form of am^2 + bm + c. For the expression 2m^2 + 13m + 11, we have: a = 2, b = 13, and c = 11.Find Multiplying Numbers: Find two numbers that multiply to ac (a times c) and add up to b. We need to find two numbers that multiply to 2 * 11 = 22 and add up to 13.Determine Numbers: Determine the two numbers that meet the criteria. The numbers 2 and 11 multiply to 22 and add up to 13.Rewrite Middle Term: Rewrite the middle term of the quadratic expression using the two numbers found. The expression 2m^2 + 13m + 11 can be rewritten by splitting the middle term into 2m and 11m: 2m^2 + 2m + 11m + 11.Factor by Grouping: Factor by grouping. Group the terms to factor out common factors: (2m^2 + 2m) + (11m + 11).Factor Common Factors: Factor out the common factors from each group. From the first group, factor out 2m: 2m(m + 1). From the second group, factor out 11: 11(m + 1).Write Factored Form: Write the factored form of the expression. Since both groups contain the factor (m + 1), we can factor it out: (2m + 11)(m + 1).

Factor. $\newline$ $2m^2 + 13m + 11$

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Factor.\newline2m2+13m+112m^2 + 13m + 112m2+13m+11

Factor. $\newline$ $2m^2 + 13m + 11$