Factor completely. 6x^(2)-13 x-5 Answer:

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Factor completely.  6x^(2)-13 x-5 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 6, -13, and -5. Step Calculation: Coefficients are 6, -13, -5 Step Output: Coefficients: 6, -13, -5Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first and last coefficients (6 * -5 = -30) and add to the middle coefficient (-13). Step Calculation: Factors of -30 that add up to -13 are -15 and +2. Step Output: Factors: -15, +2Rewrite 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: 6x^2 - 15x + 2x - 5 Step Output: Rewritten quadratic: 6x^2 - 15x + 2x - 5Factor 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: (6x^2 - 15x) + (2x - 5), factor out 3x from the first group and 1 from the second group. Step Output: 3x(2x - 5) + 1(2x - 5)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: (2x - 5)(3x + 1) Step Output: Factored Form: (2x - 5)(3x + 1)

Factor completely. $\newline$ $6 x^{2}-13 x-5$ $\newline$ Answer:

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Factor completely. $\newline$ $6 x^{2}-13 x-5$ $\newline$ Answer: