Factor completely. 5x^(2)+12 x+7 Answer:

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Factor completely.  5x^(2)+12 x+7 Answer:

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Identify Coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is 5x^2 + 12x + 7. Here, a = 5, b = 12, and c = 7.Find Multiplying Numbers: Find two numbers that multiply to a*c (5*7 = 35) and add up to b (12). We need to find two numbers that multiply to 35 and add up to 12. The numbers 5 and 7 satisfy these conditions because 5*7 = 35 and 5+7 = 12.Write Middle Term: Write the middle term (12x) as the sum of two terms using the numbers found in the previous step. We can express 12x as 5x + 7x. So, the expression becomes 5x^2 + 5x + 7x + 7.Factor by Grouping: Factor by grouping. Group the terms as follows: (5x^2 + 5x) + (7x + 7). Factor out the common factors from each group. From the first group, we can factor out 5x, and from the second group, we can factor out 7. This gives us 5x(x + 1) + 7(x + 1).Factor Common Binomial: Factor out the common binomial factor. Both groups contain the common factor (x + 1). Factor this out to get the final factored form: (5x + 7)(x + 1).

Factor completely. $\newline$ $5 x^{2}+12 x+7$ $\newline$ Answer:

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Factor completely.\newline5x2+12x+7 5 x^{2}+12 x+7 5x2+12x+7\newlineAnswer:

Factor completely. $\newline$ $5 x^{2}+12 x+7$ $\newline$ Answer: