Factor the quadratic expression completely. -3x^(2)+17 x-20=

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Factor the quadratic expression completely.  -3x^(2)+17 x-20=

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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 -3, 17, and -20. Step Calculation: Coefficients are -3, 17, -20 Step Output: Coefficients: -3, 17, -20Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first and last coefficients (-3 * -20 = 60) and add to the middle coefficient (17). Step Calculation: Factors of 60 that add up to 17 are 5 and 12. Step Output: Factors: 5, 12Rewrite 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: -3x^2 + 12x + 5x - 20 Step Output: Rewritten Expression: -3x^2 + 12x + 5x - 20Factor 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: Group 1: -3x^2 + 12x, Group 2: 5x - 20. Factor out the common factors: -3x(x - 4) + 5(x - 4). Step Output: Factored Groups: -3x(x - 4) + 5(x - 4)Factor Out Common Binomial: Step Title: Factor Out the Common Binomial Concise Step Description: Factor out the common binomial (x - 4) from the expression. Step Calculation: (x - 4)(-3x + 5) Step Output: Factored Expression: (x - 4)(-3x + 5)

Factor the quadratic expression completely. $\newline$ $-3x^{2}+17x-20=$

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Factor the quadratic expression completely.\newline−3x2+17x−20=-3x^{2}+17x-20=−3x2+17x−20=

Factor the quadratic expression completely. $\newline$ $-3x^{2}+17x-20=$