Common monomial factor

common monomial factor

1. WIDE

2. THINK

3. TEAR

4. Common Monomial Factor

5. 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

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

7. Example: 6c 3 d – 12c 2 d 2 + 3cd Step 1: GCF = 3cd Step 2: Divide by the GCF (6c 3 d – 12c 2 d 2 + 3cd) ÷ 3cd = 2c 2 – 4cd + 1 Step 3: Express = 3cd (2c 2 – 4cd + 1)

8. Factor these on your own looking for GCF. 6x 3 + 3x 2 - 12x 5x 2 – 10x + 35 16x 3 y 4 z – 8x 2 y 2 z 3 + 12xy 3 z 2