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Factor.\newline6s3+3s2+14s+76s^3 + 3s^2 + 14s + 7

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Q. Factor.\newline6s3+3s2+14s+76s^3 + 3s^2 + 14s + 7
  1. Group Terms: Step Title: Group Terms\newlineConcise Step Description: Group terms in pairs to find common factors.\newlineStep Calculation: Group (6s3+3s2)(6s^3 + 3s^2) and (14s+7)(14s + 7).\newlineStep Output: (6s3+3s2)+(14s+7)(6s^3 + 3s^2) + (14s + 7)
  2. Factor by Grouping: Step Title: Factor by Grouping\newlineConcise Step Description: Factor out the greatest common factor from each group.\newlineStep Calculation: Factor out 3s23s^2 from the first group and 77 from the second group.\newlineStep Output: 3s2(2s+1)+7(2s+1)3s^2(2s + 1) + 7(2s + 1)
  3. Factor Out the Common Binomial: Step Title: Factor Out the Common Binomial\newlineConcise Step Description: Factor out the common binomial factor from the two groups.\newlineStep Calculation: Factor out (2s+1)(2s + 1).\newlineStep Output: (2s+1)(3s2+7)(2s + 1)(3s^2 + 7)