Question

find the greatest common factor of 12x and 9x³

Explanation:

Step1: Factorize coefficients

Factorize 12 and 9.
$12 = 2\times2\times3$
$9 = 3\times3$
The common factor of 12 and 9 is 3.

Step2: Factorize variables

For the variable part, $12x$ has $x^1$ and $9x^3$ has $x^3$. The lowest power of $x$ is $x^1$.

Step3: Combine results

Multiply the common coefficient and common variable.
$\text{GCF} = 3\times x = 3x$

Answer:

$3x$