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

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Factor completely.  6x^(2)+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, 1, and -5. Step Calculation: Coefficients are 6, 1, -5 Step Output: Coefficients: 6, 1, -5Find Pair of Numbers: Step Title: Find the Pair of Numbers 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 (1). Step Calculation: The pair of numbers that multiply to -30 and add up to 1 are 6 and -5. Step Output: Pair of numbers: 6, -5Rewrite Middle Term: Step Title: Rewrite the Middle Term Concise Step Description: Rewrite the middle term using the pair of numbers found in the previous step. Step Calculation: Rewrite the equation as 6x^2 + 6x - 5x - 5. Step Output: Rewritten equation: 6x^2 + 6x - 5x - 5Factor 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 3x from the first pair and -1 from the second pair to get 3x(2x + 2) - 1(2x + 2). Step Output: Factored by grouping: 3x(2x + 2) - 1(2x + 2)Factor Out Common Binomial: Step Title: Factor Out the Common Binomial Factor Concise Step Description: Factor out the common binomial factor from the two groups. Step Calculation: Factor out (2x + 2) to get (2x + 2)(3x - 1). Step Output: Factored completely: (2x + 2)(3x - 1)

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

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