common monomial factor

6. • Common Monomial Factor is a
number, a variable, or a
combination of number and
variable which can be found in
each term of a given
polynomial.
• GCF stands for Greatest
Common Factor

7. Steps in Factoring Polynomials with a
common monomial factor:
1. Find the GCF.
2. Divide the polynomial by the GCF.
The quotient is the other factor.
3. Express the polynomial as the
product of the quotient and the
GCF.

8. Example: 6c3d – 12c2d2 + 3cd
Step 1: GCF = 3cd
Step 2: Divide by the GCF
(6c3d – 12c2d2 + 3cd) ÷ 3cd
= 2c2 – 4cd + 1
Step 3: Express
= 3cd (2c2 – 4cd + 1)

9. Factor these on your own looking for
GCF.
1.6x3 + 3x2 -12x
2.5x2 – 10x + 35
3.16x3y4z – 8x2y2z3 +
12xy3z2