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

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Factor completely.  2x^(2)+5x-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 2, 5, and -7. Step Calculation: Coefficients are 2, 5, -7 Step Output: Coefficients: 2, 5, -7Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the leading coefficient (2) and the constant term (-7), which is -14, and add to the middle coefficient (5). Step Calculation: Factors of -14 that add up to 5 are 7 and -2. Step Output: Factors: 7, -2Write Factored Form: Step Title: Write the Factored Form Concise Step Description: Write the factored form of the quadratic equation using the factors found in the previous step and apply the AC method for factoring. Step Calculation: Rewrite the middle term using the factors 7 and -2: 2x^2 + 7x - 2x - 7. Group the terms: (2x^2 + 7x) - (2x + 7). Factor by grouping: x(2x + 7) - 1(2x + 7). Factor out the common binomial: (2x + 7)(x - 1). Step Output: Factored Form: (2x + 7)(x - 1)

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

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