Factor completely. 2x^(2)-26 x-60 Answer:

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Factor completely.  2x^(2)-26 x-60 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, -26, and -60. Step Calculation: Coefficients are 2, -26, -60 Step Output: Coefficients: 2, -26, -60Find 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 (-60), which is -120, and add to the middle coefficient (-26). Step Calculation: Factors of -120 that add up to -26 are -30 and +4. Step Output: Factors: -30, +4Rewrite 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 -26x as -30x + 4x. Step Output: Rewritten quadratic: 2x^2 - 30x + 4x - 60Factor by Grouping: Step Title: Factor by Grouping Concise Step Description: Group the terms into two pairs and factor out the greatest common factor from each pair. Step Calculation: Factor out the greatest common factor from the first pair (2x^2 - 30x) and the second pair (4x - 60). Step Output: Factored by grouping: 2x(x - 15) + 4(x - 15)Factor Out Common Factor: Step Title: Factor Out the Common Binomial Factor Concise Step Description: Factor out the common binomial factor from the two groups. Step Calculation: The common binomial factor is (x - 15). Step Output: Factored completely: (2x + 4)(x - 15)Simplify Factored Expression: Step Title: Simplify the Factored Expression Concise Step Description: Simplify the factored expression by factoring out common factors in the first binomial if possible. Step Calculation: Factor out the common factor of 2 from the first binomial (2x + 4). Step Output: Simplified factored form: 2(x + 2)(x - 15)

Factor completely. $\newline$ $2 x^{2}-26 x-60$ $\newline$ Answer:

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Factor completely.\newline2x2−26x−60 2 x^{2}-26 x-60 2x2−26x−60\newlineAnswer:

Factor completely. $\newline$ $2 x^{2}-26 x-60$ $\newline$ Answer: