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

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Factor completely.  5x^(2)+x-6 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 5, 1, and -6. Step Calculation: Coefficients are 5, 1, -6 Step Output: Coefficients: 5, 1, -6Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the leading coefficient (5) and the constant term (-6), which is -30, and add to the coefficient of the middle term (1). Step Calculation: Factors of -30 that add up to 1 are 6 and -5. Step Output: Factors: 6, -5Rewrite 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: The quadratic equation can be rewritten as 5x^2 + 6x - 5x - 6. Step Output: Rewritten Quadratic: 5x^2 + 6x - 5x - 6Factor 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 -1 from the second pair to get x(5x + 6) - 1(5x + 6). Step Output: Factored by Grouping: x(5x + 6) - 1(5x + 6)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 (5x + 6), so the factored form is (x - 1)(5x + 6). Step Output: Factored Form: (x - 1)(5x + 6)

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

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