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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline6c38c26c^3 - 8c^2

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial. \newline6c38c26c^3 - 8c^2
  1. Find GCF of Terms: We need to find the greatest common factor (GCF) of the terms 6c36c^3 and 8c28c^2. To do this, we will list the factors of the coefficients and the powers of cc.\newlineFactors of 66: 1,2,3,61, 2, 3, 6\newlineFactors of 88: 1,2,4,81, 2, 4, 8\newlineThe common factors of the coefficients are 11 and 22.\newlineFor the variable part, since both terms have at least c2c^2, we can factor out c2c^2.\newlineThe GCF of 6c36c^3 and 8c28c^2 is therefore 8c28c^233.
  2. Divide by GCF: Now we will divide each term by the GCF to find the remaining factors.\newlineFor the first term, 6c36c^3 divided by 2c22c^2 is 3c3c.\newlineFor the second term, 8c28c^2 divided by 2c22c^2 is 44.
  3. Write Original Polynomial: We can now write the original polynomial as the product of the GCF and the remaining factors.\newline6c38c2=2c2(3c4)6c^3 - 8c^2 = 2c^2(3c - 4)