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

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Identify Coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is in the form of ag^2 + bg + c. For the given expression 2g^2 + 13g + 11, we have: a = 2, b = 13, and c = 11.Find Multiplying Numbers: Find two numbers that multiply to a*c (which is 2*11 = 22) and add up to b (which is 13). We need to find two numbers that when multiplied give us 22 and when added give us 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 of the quadratic expression using the two numbers found in the previous step. We can express the middle term 13g as the sum of 2g and 11g. Therefore, we rewrite the expression as: 2g^2 + 2g + 11g + 11.Factor by Grouping: Factor by grouping. We group the terms as follows: (2g^2 + 2g) + (11g + 11). Now we factor out the common factors from each group: From the first group, we can factor out 2g: 2g(g + 1). From the second group, we can factor out 11: 11(g + 1).Write Factored Form: Write the factored form of the expression. Since both groups contain the common factor (g + 1), we can factor it out: 2g(g + 1) + 11(g + 1) = (2g + 11)(g + 1).

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

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Factor.\newline2g2+13g+112g^2 + 13g + 112g2+13g+11

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