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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline3c3+6c23c^3 + 6c^2

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline3c3+6c23c^3 + 6c^2
  1. Identify GCF of Terms: Identify the greatest common factor (GCF) of the terms 3c33c^3 and 6c26c^2. The GCF is the highest number and the highest power of cc that divides both terms.\newlineFor the coefficients, the GCF of 33 and 66 is 33.\newlineFor the variable part, since both terms have at least c2c^2, the GCF includes c2c^2.\newlineTherefore, the GCF is 3c23c^2.
  2. Divide by GCF: Divide each term by the GCF to find the remaining factors.\newlineFor the first term, 3c33c^3 divided by 3c23c^2 is cc.\newlineFor the second term, 6c26c^2 divided by 3c23c^2 is 22.
  3. Write as Product: Write the original polynomial as the product of the GCF and the remaining factors.\newline3c3+6c23c^3 + 6c^2 can be written as 3c2(c+2)3c^2(c + 2).