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Factoring by Grouping

Factoring by Grouping. Factoring Technique #3. Factoring By Grouping for polynomials with 4 or more terms. Group the first set of terms and last set of terms together with parentheses.

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Factoring by Grouping

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  1. Factoring by Grouping

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

  3. 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). Factoring By Grouping

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

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

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

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

  8. Example: Factor 6x2 – 3x – 4x + 2 by grouping 6x2 – 3x – 4x + 2 BACK

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

  10. Example:

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