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Factoring Trinomials by Grouping (three terms)

Factoring Trinomials by Grouping (three terms). K-3. This method works best when a is not 1, and it is almost a requirement if a is a big number. 1. Is there a GCF? If so, factor it out. Figure out the Product and Sum. Split the middle term: . If the product is negative,

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Factoring Trinomials by Grouping (three terms)

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  1. Factoring Trinomials by Grouping (three terms) K-3

  2. This method works best when a is not 1, and it is almost a requirement if a is a big number.

  3. 1 Is there a GCF? If so, factor it out. Figure out the Product and Sum Split the middle term: If the product is negative, then one of the two numbers is negative. We need 6b and -b. Check with FOIL

  4. 2 Is there a GCF? If so, factor it out. Figure out the Product and Sum If the product is positive, then both of the numbers are the same sign. Split the middle term: We need 4b and 4b. Check with FOIL

  5. 3 Is there a GCF? If so, factor it out. If the product is positive, then both of the numbers are the same sign. Figure out the Product and Sum Split the middle term: We need -9xy and -4xy. Check with FOIL

  6. 4 Is there a GCF? If so, factor it out. Figure out the Product and Sum Split the middle term: We need 1c and 2c. Check with FOIL

  7. 5 Is there a GCF? If so, factor it out. Figure out the Product and Sum Split the middle term: We need -5c and 12c. Check with FOIL

  8. Steps for factoring trinomials with grouping: • Put trinomial in alphabetic, descending order • Factor out the GCF. If the first term (a) is negative, factor out a negative. • Split the middle term by finding two numbers that make the product/sum work out. • Use the grouping technique.

  9. Practice some more in class

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