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Factor.\newline5h315h2+h35h^3 - 15h^2 + h - 3

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Q. Factor.\newline5h315h2+h35h^3 - 15h^2 + h - 3
  1. Identify Common Factors: Step Title: Identify Common Factors\newlineConcise Step Description: Look for any common factors in all terms of the polynomial.\newlineStep Calculation: The common factor in the first two terms is 5h25h^2, and there is no common factor in the last two terms.\newlineStep Output: Common factor in the first two terms: 5h25h^2
  2. Factor by Grouping: Step Title: Factor by Grouping\newlineConcise Step Description: Group the terms into two pairs and factor out the common factors from each pair.\newlineStep Calculation: Group (5h315h2)(5h^3 - 15h^2) and (h3)(h - 3), then factor out the common factors. For the first group, factor out 5h25h^2, and for the second group, factor out 11.\newlineStep Output: Factored groups: 5h2(h3)+1(h3)5h^2(h - 3) + 1(h - 3)
  3. Factor Out the Common Binomial: Step Title: Factor Out the Common Binomial\newlineConcise Step Description: Factor out the common binomial factor from the grouped terms.\newlineStep Calculation: The common binomial factor is (h3)(h - 3). Factor this out from both groups.\newlineStep Output: Factored form: (h3)(5h2+1)(h - 3)(5h^2 + 1)