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

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Identify coefficients: Identify the coefficients a, b, and c in the quadratic expression 2w^2 + 13w + 11 by comparing it to the standard form ax^2 + bx + c. a = 2, b = 13, c = 11.Find suitable numbers: Find two numbers that multiply to a*c (which is 2*11 = 22) and add up to b (which is 13). The numbers that satisfy these conditions are 2 and 11 because 2*11 = 22 and 2+11 = 13.Rewrite middle term: Rewrite the middle term 13w using the two numbers found in the previous step. The expression becomes 2w^2 + 2w + 11w + 11.Factor by grouping: Factor by grouping. Group the first two terms together and the last two terms together. This gives us (2w^2 + 2w) + (11w + 11).Factor out common factors: Factor out the greatest common factor from each group. From the first group, factor out 2w, which gives us 2w(w + 1). From the second group, factor out 11, which gives us 11(w + 1).Final factored form: Notice that both groups now have a common factor of (w + 1). Factor out the common factor to get the final factored form. The expression becomes (2w + 11)(w + 1).

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

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Factor.\newline2w2+13w+112w^2 + 13w + 112w2+13w+11

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