Question

factor out the greatest common factor. if the greatest common factor is 1, just ret polynomial.
$6a^{3}-9a^{2}$

Explanation:

Step1: Find GCF of coefficients

Factors of 6: 1, 2, 3, 6
Factors of 9: 1, 3, 9
GCF of 6 and 9 is 3.

Step2: Find GCF of variables

For \(a^3\) and \(a^2\), the lowest power is \(a^2\).

Step3: Factor out GCF

Factor out \(3a^2\) from \(6a^3 - 9a^2\):
\(6a^3 - 9a^2 = 3a^2(2a - 3)\)

Answer:

\(3a^2(2a - 3)\)