Multiplying Binomials

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Presentation transcript:

Multiplying Binomials

When multiplying binomials, apply the FOIL method: 1 When multiplying binomials, apply the FOIL method: 1. Multiply the FIRST Terms. 2. Multiply the OUTER Terms. 3. Multiply the INNER Terms. 4. Multiply the LAST Terms. 5. Simplify by combining like terms.

Example 1 (x + 1) (x + 2) 1. Multiply the FIRST Terms. = x2

2. Multiply the OUTER Terms. (x + 1) (x + 2) x2 + 2x

3. Multiply the INNER Terms. (x + 1) (x + 2) x2 + 2x + x

4. Multiply the LAST Terms. (x + 1) (x + 2) x2 + 2x + x + 2

5. Simplify by combining like terms (x + 1) (x + 2) = x2 + 2x + 1x + 2 = x2 + 3x +2 Final Answer

Example 2 (x + 4) (2x – 6) FOIL Method Example 2 (x + 4) (2x – 6) FOIL Method. 2x2 – 6x + 8x – 24 = 2x2 +2x – 2 Final Answer