Question

find the greatest common factor of the terms of the polynomial.
42c^9 + 6c^8 + 36c^7 + 6c^6
write your answer as a constant times a product of single variables raised to exponents.

Explanation:

Step1: Find GCF of coefficients

The coefficients are 42, 6, 36, 6. The GCF of 42, 6, 36, 6 is 6.

Step2: Find GCF of variables

For \(c^9\), \(c^8\), \(c^7\), \(c^6\), the lowest exponent of \(c\) is 6. So the GCF of variables is \(c^6\).

Step3: Combine GCFs

Multiply the GCF of coefficients and GCF of variables: \(6\times c^6 = 6c^6\).

Answer:

\(6c^6\)