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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline6m3+8m6m^3 + 8m

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline6m3+8m6m^3 + 8m
  1. Factor out GCF: Now we will factor out the GCF from each term in the polynomial. For the first term, 6m36m^3, we divide it by the GCF, 2m2m, to get 3m23m^2. So, 6m36m^3 factored by 2m2m is 2m×3m22m \times 3m^2. For the second term, 8m8m, we divide it by the GCF, 2m2m, to get 44. So, 8m8m factored by 2m2m is 2m2m11.
  2. Divide first term: We can now write the original polynomial with the GCF factored out:\newline6m3+8m=2m(3m2+4)6m^3 + 8m = 2m(3m^2 + 4)\newlineThis is the factored form of the polynomial with the greatest common factor factored out.