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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline9k36k29k^3 - 6k^2

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline9k36k29k^3 - 6k^2
  1. Identify Numerical Coefficients and Powers: To find the greatest common factor (GCF) of 9k39k^3 and 6k26k^2, we need to look at the numerical coefficients and the powers of kk. The numerical coefficients are 99 and 66. The GCF of 99 and 66 is 33 because both numbers are divisible by 33. For the variable part, since both terms have at least k2k^2, the GCF will include k2k^2.
  2. Express Terms as Product: Now we express each term as a product of the GCF and the remaining factors. For 9k39k^3, we can write it as 3k2×3k3k^2 \times 3k because 9k39k^3 divided by 3k23k^2 is 3k3k. For 6k26k^2, we can write it as 3k2×23k^2 \times 2 because 6k26k^2 divided by 3k23k^2 is 22.
  3. Factor Out the GCF: We can now factor out the GCF from the polynomial. The original polynomial is 9k36k29k^3 - 6k^2. Factoring out the GCF of 3k23k^2, we get 3k2(3k2)3k^2(3k - 2).