Factor the quadratic expression completely. 6x^(2)-13 x+6=

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Factor the quadratic expression completely.  6x^(2)-13 x+6=

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Identify Coefficients: Step Title: Identify the Coefficients Concise Step Description: Identify the coefficients of the quadratic expression, which are the numbers in front of the variables. In this case, the coefficients are 6, -13, and 6. Step Calculation: Coefficients are 6, -13, 6 Step Output: Coefficients: 6, -13, 6Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first and last coefficients (6 * 6 = 36) and add to the middle coefficient (-13). Step Calculation: Factors of 36 that add up to -13 are -4 and -9. Step Output: Factors: -4, -9Rewrite 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 - 4x - 9x + 6 Step Output: Rewritten expression: 6x^2 - 4x - 9x + 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: (6x^2 - 4x) + (-9x + 6) can be factored as 2x(3x - 2) - 3(3x - 2). Step Output: Factored by grouping: 2x(3x - 2) - 3(3x - 2)Factor Out Common Binomial: Step Title: Factor Out the Common Binomial Concise Step Description: Factor out the common binomial factor from the grouped terms. Step Calculation: The common binomial factor is (3x - 2), so the expression can be factored as (3x - 2)(2x - 3). Step Output: Factored Form: (3x - 2)(2x - 3)

Factor the quadratic expression completely. $\newline$ $6x^{2}-13x+6=$

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Factor the quadratic expression completely.\newline6x2−13x+6=6x^{2}-13x+6=6x2−13x+6=

Factor the quadratic expression completely. $\newline$ $6x^{2}-13x+6=$