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Factor.\newline18m36m215m+518m^3 - 6m^2 - 15m + 5

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Q. Factor.\newline18m36m215m+518m^3 - 6m^2 - 15m + 5
  1. Identify Common Factor: Look for a common factor in all terms.\newlineCheck if there is a greatest common factor (GCF) that can be factored out from all terms of the polynomial 18m36m215m+518m^3 - 6m^2 - 15m + 5.\newlineThe GCF of 18m318m^3, 6m26m^2, 15m15m, and 55 is 11, so there is no common factor to factor out from all terms.
  2. Group Terms: Group terms to facilitate factoring by grouping.\newlineGroup the first two terms together and the last two terms together: 18m36m218m^3 - 6m^2 + 15m+5 -15m + 5.
  3. Factor Out GCF: Factor out the GCF from each group.\newlineFrom the first group 18m36m218m^3 - 6m^2, factor out 6m26m^2, and from the second group 15m+5-15m + 5, factor out 5-5.\newline6m2(3m1)5(3m1)6m^2(3m - 1) - 5(3m - 1).
  4. Factor Out Common Binomial: Factor out the common binomial factor.\newlineNow that we have a common binomial factor (3m1)(3m - 1), we can factor it out.\newline(6m25)(3m1)(6m^2 - 5)(3m - 1).