Factor the quadratic expression completely. 3x^(2)-20 x-7=

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Factor the quadratic expression completely.  3x^(2)-20 x-7=

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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, -20, and -7. Step Calculation: Coefficients are 3, -20, -7 Step Output: Coefficients: 3, -20, -7Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first coefficient (3) and the last term (-7), which is -21, and add to the middle coefficient (-20). Step Calculation: Factors of -21 that add up to -20 are -1 and -21. Step Output: Factors: -1, -21Rewrite 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: Rewrite -20x as -x - 21x. Step Output: Rewritten expression: 3x^2 - x - 21x - 7Group Terms: Step Title: Group the Terms Concise Step Description: Group the terms in pairs to factor by grouping. Step Calculation: Group (3x^2 - x) and (-21x - 7). Step Output: Grouped expression: (3x^2 - x) - (21x + 7)Factor Each Group: Step Title: Factor Each Group Concise Step Description: Factor out the greatest common factor from each group. Step Calculation: Factor out x from the first group and -7 from the second group. Step Output: Factored groups: x(3x - 1) - 7(3x - 1)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: Factor out (3x - 1). Step Output: Factored expression: (3x - 1)(x - 7)

Factor the quadratic expression completely. $\newline$ $3x^{2}-20x-7=$

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Factor the quadratic expression completely.\newline3x2−20x−7=3x^{2}-20x-7=3x2−20x−7=

Factor the quadratic expression completely. $\newline$ $3x^{2}-20x-7=$