Factoring by Grouping. Factoring Technique #3 Factoring By Grouping for polynomials with 4 or more terms.

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Factoring by Grouping

Factoring Technique #3 Factoring By Grouping for polynomials with 4 or more terms

Factoring By Grouping 1.Group the first set of terms and last set of terms together with parentheses. 2. Factor out the GCF from each group so that both sets of parentheses contain the same factors. 3. Factor out the GCF again (the GCF is the factor from step 2).

Factor Out the Greatest Common Factor (GCF) ax + bx =x(a+b) a(x + 5) + b(x + 5) = (x + 5)(a+b) BACK

Factor Out the Greatest Common Factor x(3a + 2) + 7(3a + 2) = (3a + 2) BACK

Step 1: Group into two groups Example 1: Step 2: Factor out GCF from each group Step 3: Factor out GCF again

3xa + 2x + 21a + 14 Factor Out the Common Factor x(3a + 2) + 7(3a + 2) = (3a + 2) This is called factoring by grouping. BACK

Example: Factor 6x 2 – 3x – 4x + 2 by grouping 6x 2 – 3x – 4x + 2 BACK

Factor xy + 2x + 4y + 8 by grouping xy + 2x + 4y + 8 BACK

Example: