Factor completely. 2x^(2)-17 x-9 Answer:

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Factor completely.  2x^(2)-17 x-9 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, -17, and -9. Step Calculation: Coefficients are 2, -17, -9 Step Output: Coefficients: 2, -17, -9Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first coefficient (2) and the last term (-9), which is -18, and add to the middle coefficient (-17). Step Calculation: Factors of -18 that add up to -17 are -1 and -18. Step Output: Factors: -1, -18Rewrite 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: Rewrite -17x as -x - 18x. Step Output: 2x^2 - x - 18x - 9Factor 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: Factor out x from the first pair and -9 from the second pair. Step Output: x(2x - 1) - 9(2x - 1)Factor Out Common Binomial: Step Title: Factor Out the Common Binomial Concise Step Description: Factor out the common binomial factor from the two groups. Step Calculation: The common binomial factor is (2x - 1). Step Output: (2x - 1)(x - 9)

Factor completely. $\newline$ $2 x^{2}-17 x-9$ $\newline$ Answer:

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Factor completely. $\newline$ $2 x^{2}-17 x-9$ $\newline$ Answer: