Final answer:
To factor a polynomial with a common monomial factor, you can use the GCF method. Identify the GCF, divide each term by the GCF, and write the GCF outside the parentheses and the quotients inside.
Step-by-step explanation:
Factoring polynomials with a common monomial factor can be done using the Greatest Common Factor (GCF) method. The GCF is the highest number that can divide all the terms in the polynomial evenly.
To factor a polynomial with a common monomial factor, you can follow these steps:
- Identify the GCF of all the terms in the polynomial.
- Divide each term in the polynomial by the GCF.
- Write the GCF outside the parentheses and the quotients inside the parentheses.
For example, let's say we have the polynomial 4x2 - 12x. The GCF of 4x2 and -12x is 4x. Dividing both terms by 4x gives us 4x(x - 3).