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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline3k3+6k3k^3 + 6k

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline3k3+6k3k^3 + 6k
  1. Express Terms as Product: Now, we will express each term as a product of the GCF and the remaining factors.\newlineFor 3k33k^3, we have:\newline3k3=3×k×k×k3k^3 = 3 \times k \times k \times k\newlineWe can write 3k33k^3 as the GCF (3k)(3k) times the remaining factors (k2)(k^2).\newline3k3=3k×k23k^3 = 3k \times k^2\newlineFor 6k6k, we have:\newline6k=2×3×k6k = 2 \times 3 \times k\newlineWe can write 6k6k as the GCF (3k)(3k) times the remaining factors 3k3=3×k×k×k3k^3 = 3 \times k \times k \times k00.\newline3k3=3×k×k×k3k^3 = 3 \times k \times k \times k11
  2. Factor Out GCF: Now, we can factor out the GCF from the polynomial 3k3+6k3k^3 + 6k. We have: 3k3+6k=3kimesk2+3kimes2=3k(k2+2)3k^3 + 6k = 3k imes k^2 + 3k imes 2 = 3k(k^2 + 2) This is the factored form of the polynomial with the GCF factored out.