Factor completely. 5x^(2)+34 x-7 Answer:

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Factor completely.  5x^(2)+34 x-7 Answer:

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Identify Coefficients: Step Title: Identify the Coefficients Concise Step Description: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are 5, 34, and -7. Step Calculation: Coefficients are 5, 34, -7 Step Output: Coefficients: 5, 34, -7Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first and last coefficients (5 * -7 = -35) and add to the middle coefficient (34). Step Calculation: Factors of -35 that add up to 34 are 35 and -1. Step Output: Factors: 35, -1Rewrite Middle Term: Step Title: Rewrite the Middle Term Concise Step Description: Rewrite the middle term using the factors found in the previous step. Step Calculation: 5x^2 + 35x - x - 7 Step Output: Rewritten quadratic: 5x^2 + 35x - x - 7Factor by Grouping: Step Title: Factor by Grouping Concise Step Description: Group the terms into two pairs and factor out the common factors from each pair. Step Calculation: (5x^2 + 35x) - (x + 7) Step Output: Grouped terms: (5x^2 + 35x) - (x + 7)Factor Common Factors: Step Title: Factor Out the Greatest Common Factors Concise Step Description: Factor out the greatest common factor from each group. Step Calculation: 5x(x + 7) - 1(x + 7) Step Output: Factored groups: 5x(x + 7) - 1(x + 7)Factor Common Binomial: Step Title: Factor Out the Common Binomial Concise Step Description: Factor out the common binomial factor from the two terms. Step Calculation: (x + 7)(5x - 1) Step Output: Factored Form: (x + 7)(5x - 1)

Factor completely. $\newline$ $5 x^{2}+34 x-7$ $\newline$ Answer:

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Factor completely. $\newline$ $5 x^{2}+34 x-7$ $\newline$ Answer: