Factor -7v^(2)-25 v-12

Question

Factor  -7v^(2)-25 v-12

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Identify Coefficients: Step Title: Identify the Coefficients Concise Step Description: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are -7, -25, and -12. Step Calculation: Coefficients are -7, -25, -12 Step Output: Coefficients: -7, -25, -12Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first and last coefficients (-7 * -12 = 84) and add to the middle coefficient (-25). Step Calculation: Factors of 84 that add up to -25 are -4 and -21. Step Output: Factors: -4, -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: -7v^2 - 4v - 21v - 12 Step Output: Rewritten quadratic: -7v^2 - 4v - 21v - 12Factor 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: -7v^2 - 4v, Group 2: -21v - 12. Factor out -v from the first group and -3 from the second group. Step Output: Factored Groups: -v(7v + 4) - 3(7v + 4)Factor Out Common Binomial: Step Title: Factor Out the Common Binomial Concise Step Description: Factor out the common binomial (7v + 4) from the two groups. Step Calculation: (7v + 4)(-v - 3) Step Output: Factored Form: (7v + 4)(-v - 3)

Factor $-7v^{2}-25v-12$

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Factor −7v2−25v−12-7v^{2}-25v-12−7v2−25v−12

Factor $-7v^{2}-25v-12$