Factor the quadratic expression completely. -7x^(2)-24 x-9=

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Factor the quadratic expression completely.  -7x^(2)-24 x-9=

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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 -7, -24, and -9. Step Calculation: Coefficients are -7, -24, -9 Step Output: Coefficients: -7, -24, -9Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first and last coefficients (-7 * -9 = 63) and add to the middle coefficient (-24). Step Calculation: Factors of 63 that add up to -24 are -21 and -3. Step Output: Factors: -21, -3Rewrite 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: -7x^2 - 21x - 3x - 9 Step Output: Rewritten quadratic expression: -7x^2 - 21x - 3x - 9Factor by Grouping: Step Title: Factor by Grouping Concise Step Description: Group the terms into two pairs and factor out the greatest common factor from each pair. Step Calculation: Group 1: -7x^2 - 21x, Group 2: -3x - 9. Factor out -7x from Group 1 and -3 from Group 2. Step Output: Factored groups: -7x(x + 3) - 3(x + 3)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 (x + 3). Step Output: Factored expression: (x + 3)(-7x - 3)

Factor the quadratic expression completely. $\newline$ $-7x^{2}-24x-9=$

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Factor the quadratic expression completely.\newline−7x2−24x−9=-7x^{2}-24x-9=−7x2−24x−9=

Factor the quadratic expression completely. $\newline$ $-7x^{2}-24x-9=$