Identify Common Factors: Step Title: Identify Common FactorsConcise Step Description: Look for any common factors in all terms of the polynomial.Step Calculation: The common factor in all terms is 1.Step Output: Common Factor: 1
Group Terms: Step Title: Group TermsConcise Step Description: Group terms to find common factors within the groups.Step Calculation: Group the terms as (5w3+10w2) and (8w+16).Step Output: Grouped Terms: (5w3+10w2)+(8w+16)
Factor by Grouping: Step Title: Factor by GroupingConcise Step Description: Factor out the greatest common factor from each group.Step Calculation: Factor out 5w2 from the first group and 8 from the second group.Step Output: Factored Groups: 5w2(w+2)+8(w+2)
Factor Out the 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 (w+2).Step Output: Factored Expression: (w+2)(5w2+8)