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FOIL Review

FOIL Review. Using FOIL: First Outer (x + 2)(x – 3) Inner Last x²+ -3x + 2x + -6 x²+ -1x + -6. Factoring by Grouping. Factor some polynomials having 4 or more terms. Pairs of terms are grouped together and factored using GCF. Ex) 4ab + 8b + 3a + 6.

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FOIL Review

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  1. FOIL Review Using FOIL: First Outer (x + 2)(x – 3) Inner Last x²+ -3x + 2x + -6 x²+ -1x + -6

  2. Factoring by Grouping • Factor some polynomials having 4 or more terms. Pairs of terms are grouped together and factored using GCF. Ex) 4ab + 8b + 3a + 6

  3. Factoring by Grouping • Factor some polynomials having 4 or more terms. Pairs of terms are grouped together and factored using GCF. Ex) 4ab + 8b + 3a + 6 (4ab + 8b) + (3a + 6) 4b(a + 2) + 3(a + 2) These must be the same! (a + 2)(4b + 3) *** check by using FOIL

  4. Grouping more than one way • Group more than one way to get the same answer. • Use the commutative property to move terms to group. Ex) 4ab + 8b + 3a + 6

  5. Grouping more than one way • Group more than one way to get the same answer. • Use the commutative property to move terms to group. Ex) 4ab + 8b + 3a + 6 4ab + 3a + 8b + 6 (4ab + 3a) + (8b + 6) a(4b + 3) + 2(4b + 3) (4b + 3)(a + 2)

  6. Additive Inverse Property • Group with common factors. • Use inverse property to match up the factors. Ex) 35x – 5xy + 3y – 21

  7. Additive Inverse Property • Group with common factors. • Use inverse property to match up the factors. Ex) 35x – 5xy + 3y – 21 (35x – 5xy) + (3y – 21) 5x(7 – y) + 3(y – 7) inverse property 5x(-1)(y – 7) + 3(y – 7) (7 – y) = -1(y – 7) -5x(y – 7) + 3(y – 7) (-5x + 3)(y – 7)

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