Factor the quadratic expression completely. 12x^(2)+17 x+6=

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Factor the quadratic expression completely.  12x^(2)+17 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 12, 17, and 6. Step Calculation: Coefficients are 12, 17, 6 Step Output: Coefficients: 12, 17, 6Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first and last coefficients (12 * 6 = 72) and add to the middle coefficient (17). Step Calculation: Factors of 72 that add up to 17 are 8 and 9. Step Output: Factors: 8, 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: 12x^2 + 8x + 9x + 6 Step Output: Rewritten Expression: 12x^2 + 8x + 9x + 6Factor by Grouping: Step Title: Factor by Grouping Concise Step Description: Group the terms into two pairs and factor out the common factor from each pair. Step Calculation: (12x^2 + 8x) + (9x + 6) = 4x(3x + 2) + 3(3x + 2) Step Output: Grouped Factors: 4x(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: (4x + 3)(3x + 2) Step Output: Factored Form: (4x + 3)(3x + 2)

Factor the quadratic expression completely. $\newline$ $12x^{2}+17x+6=$

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Factor the quadratic expression completely.\newline12x2+17x+6=12x^{2}+17x+6=12x2+17x+6=

Factor the quadratic expression completely. $\newline$ $12x^{2}+17x+6=$