Factoring Quadratics by Grouping

Identify that the problem requires grouping1. Is the coefficient of the first term

greater than 1?

2. If it is, can I GCF to make that coefficient 1?

3. If not than you must use grouping.

Grouping Steps

1. Multiply the coefficient of the first term by the last term to find your product.

2. Find the two numbers that multiply to your product but add to the coefficient of the middle term.

3. Rewrite your original quadratic but break up the middle term into two terms using the factors as your coefficients. Be sure to group your coefficients by common factors.

4. Draw parenthesis around your first two terms and around your last two terms.

5. GCF each group of terms.

6. Your two “groups” should now each have a common term in parentheses.

7. Factor out this term.

8. Check by multiplying your binomials.