Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.3c3+6c2
Identify GCF of Terms: Identify the greatest common factor (GCF) of the terms 3c3 and 6c2. The GCF is the highest number and the highest power of c that divides both terms.For the coefficients, the GCF of 3 and 6 is 3.For the variable part, since both terms have at least c2, the GCF includes c2.Therefore, the GCF is 3c2.
Divide by GCF: Divide each term by the GCF to find the remaining factors.For the first term, 3c3 divided by 3c2 is c.For the second term, 6c2 divided by 3c2 is 2.
Write as Product: Write the original polynomial as the product of the GCF and the remaining factors.3c3+6c2 can be written as 3c2(c+2).