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