To factor out the Greatest Common Factor (GCF) from a polynomial, you can follow these simple steps:

1. Find the GCF: Look at each part of the polynomial. Find the biggest number and the variable that can be found in every part.

2. Rewrite the Polynomial: After finding the GCF, rewrite the polynomial as the GCF times what’s left over.

3. Check Your Work: Multiply the GCF back with the leftover parts to make sure you get back to the original polynomial.

For example, with the polynomial $6x^2 + 9x$, the GCF is $3x$. You can rewrite it as $3x(2x + 3)$. Simple, right?