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

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Identify Coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is in the form ax^2 + bx + c. For 2x^2 + 13x + 11, a = 2, b = 13, and c = 11.Find Multiplying Numbers: Find two numbers that multiply to a*c (2*11 = 22) and add up to b (13). We need to find two numbers that multiply to 22 and add up to 13. The numbers 2 and 11 satisfy these conditions because 2*11 = 22 and 2+11 = 13.Rewrite Middle Term: Rewrite the middle term using the two numbers found in the previous step. We can express 13x as the sum of 2x and 11x. So, the expression becomes 2x^2 + 2x + 11x + 11.Factor by Grouping: Factor by grouping. First, group the terms: (2x^2 + 2x) + (11x + 11). Then, factor out the common factors from each group. From the first group, we can factor out 2x, giving us 2x(x + 1). From the second group, we can factor out 11, giving us 11(x + 1).Write Factored Form: Write the factored form of the expression. Since both groups contain the factor (x + 1), we can factor this out to get the final factored form of the expression: (2x + 11)(x + 1).

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

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Factor.\newline2x2+13x+112x^2 + 13x + 112x2+13x+11

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