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 the first two terms is 5h2, and there is no common factor in the last two terms.Step Output: Common factor in the first two terms: 5h2
Factor by Grouping: Step Title: Factor by GroupingConcise Step Description: Group the terms into two pairs and factor out the common factors from each pair.Step Calculation: Group (5h3−15h2) and (h−3), then factor out the common factors. For the first group, factor out 5h2, and for the second group, factor out 1.Step Output: Factored groups: 5h2(h−3)+1(h−3)
Factor Out the Common Binomial: Step Title: Factor Out the Common BinomialConcise Step Description: Factor out the common binomial factor from the grouped terms.Step Calculation: The common binomial factor is (h−3). Factor this out from both groups.Step Output: Factored form: (h−3)(5h2+1)