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Factor.\newline5w3+10w2+8w+165w^3 + 10w^2 + 8w + 16

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Q. Factor.\newline5w3+10w2+8w+165w^3 + 10w^2 + 8w + 16
  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 all terms is 11.\newlineStep Output: Common Factor: 11
  2. Group Terms: Step Title: Group Terms\newlineConcise Step Description: Group terms to find common factors within the groups.\newlineStep Calculation: Group the terms as (5w3+10w2)(5w^3 + 10w^2) and (8w+16)(8w + 16).\newlineStep Output: Grouped Terms: (5w3+10w2)+(8w+16)(5w^3 + 10w^2) + (8w + 16)
  3. Factor by Grouping: Step Title: Factor by Grouping\newlineConcise Step Description: Factor out the greatest common factor from each group.\newlineStep Calculation: Factor out 5w25w^2 from the first group and 88 from the second group.\newlineStep Output: Factored Groups: 5w2(w+2)+8(w+2)5w^2(w + 2) + 8(w + 2)
  4. Factor Out the 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 (w+2)(w + 2).\newlineStep Output: Factored Expression: (w+2)(5w2+8)(w + 2)(5w^2 + 8)