Question

factor out the greatest common factor. if the greatest common factor is 1, just retype the polynomial.
$18c^{3} + 3c^{2}$

Explanation:

Step1: Find GCF of coefficients

The coefficients are 18 and 3. The greatest common factor of 18 and 3 is 3.

Step2: Find GCF of variable terms

The variable terms are $c^3$ and $c^2$. The greatest common factor is $c^2$ (the lowest power of $c$ present).

Step3: Factor out the GCF

Factor $3c^2$ from each term of the polynomial:
$18c^3 + 3c^2 = 3c^2(6c) + 3c^2(1) = 3c^2(6c + 1)$

Answer:

$3c^2(6c + 1)$