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9.2 Factoring Using the Distributive Property Part 2

9.2 Factoring Using the Distributive Property Part 2. Objective: To be able to factor polynomials by grouping. Grouping. A polynomial can be factored by grouping if there are four terms. Steps for Factoring by Grouping: GCF? Make 2 groups. Pull out the GCF from group 1.

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9.2 Factoring Using the Distributive Property Part 2

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  1. 9.2 Factoring Using the Distributive PropertyPart 2 Objective: To be able to factor polynomials by grouping.

  2. Grouping A polynomial can be factored by grouping if there are four terms. Steps for Factoring by Grouping: • GCF? • Make 2 groups. • Pull out the GCF from group 1. • Pull out the GCF from group 2. • Rewrite the ( ). *They have to be the same inside! • Rewrite the leftovers. • Check!

  3. Example 1 Steps for Factoring by Grouping: GCF? Make 2 groups. Pull out the GCF from group 1. Pull out the GCF from group 2. Rewrite the ( ). *They have to be the same inside! Rewrite the leftovers. Check! Factor. • 8ab + 16b + 6a + 12

  4. Example 1 Steps for Factoring by Grouping: GCF? Make 2 groups. Pull out the GCF from group 1. Pull out the GCF from group 2. Rewrite the ( ). *They have to be the same inside! Rewrite the leftovers. Check! Factor. • 12xyz + 8xz + 6yz + 4z

  5. Example 1 Steps for Factoring by Grouping: GCF? Make 2 groups. Pull out the GCF from group 1. Pull out the GCF from group 2. Rewrite the ( ). *They have to be the same inside! Rewrite the leftovers. Check! Factor. • 4ax + 3ay + 4bx + 3by

  6. Example 2 Steps for Factoring by Grouping: GCF? Make 2 groups. Pull out the GCF from group 1. Pull out the GCF from group 2. Rewrite the ( ). *They have to be the same inside! Rewrite the leftovers. Check! Factor. • 35x + 3y – 5xy – 21

  7. Example 2 Steps for Factoring by Grouping: GCF? Make 2 groups. Pull out the GCF from group 1. Pull out the GCF from group 2. Rewrite the ( ). *They have to be the same inside! Rewrite the leftovers. Check! Factor. • –3xy + 6y – 2 + x

  8. Example 2 Steps for Factoring by Grouping: GCF? Make 2 groups. Pull out the GCF from group 1. Pull out the GCF from group 2. Rewrite the ( ). *They have to be the same inside! Rewrite the leftovers. Check! Factor. • 2x2– 2xy + 3yz– 3xz

  9. Homework 9.2 SG 529 #13 – 18 all

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