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Factor.\newline15j3+3j2+10j+215j^3 + 3j^2 + 10j + 2

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Q. Factor.\newline15j3+3j2+10j+215j^3 + 3j^2 + 10j + 2
  1. Identify Common Factor: Step Title: Identify the Common Factor\newlineConcise Step Description: Look for a common factor that can be factored out from all terms of the polynomial.\newlineStep Calculation: The common factor for all terms is 11.\newlineStep Output: Common factor: 11
  2. Group Terms: Step Title: Group Terms\newlineConcise Step Description: Group terms in pairs to see if there is a common factor within each pair that can be factored out.\newlineStep Calculation: Grouping the terms as (15j3+3j2)(15j^3 + 3j^2) and (10j+2)(10j + 2).\newlineStep Output: Grouped terms: (15j3+3j2)(15j^3 + 3j^2) and (10j+2)(10j + 2)
  3. Factor by Grouping: Step Title: Factor by Grouping\newlineConcise Step Description: Factor out the greatest common factor from each group.\newlineStep Calculation: From the first group 15j3+3j215j^3 + 3j^2, the common factor is 3j23j^2. From the second group 10j+210j + 2, the common factor is 22.\newlineStep Output: Factored groups: 3j2(5j+1)3j^2(5j + 1) and 2(5j+1)2(5j + 1)
  4. Factor Out Common Binomial: Step Title: Factor Out the Common Binomial\newlineConcise Step Description: Factor out the common binomial factor from the factored groups.\newlineStep Calculation: The common binomial factor is (5j+1)(5j + 1).\newlineStep Output: Factored expression: (3j2+2)(5j+1)(3j^2 + 2)(5j + 1)