2. Multiplying Binomials each each otherTo multiply two Binomials – each term in each binomial needs to be multiplied by each other. FOIL helps you keep track of multiplying Binomials. exponent lawsadd same baseYou need to remember your exponent laws for multiplying. (you add the exponent if they have the same base)

3. FOIL F – first terms of each binomial O – Outside terms of each binomial I – Inside terms of each binomial L – Last terms of each binomial

4. Example of FOIL (x – 2)(x + 3) These are the First Terms (F) (x – 2)(x + 3) These are the Outside Terms (O) These are the Inside Terms (I) These are the Last Terms (L)

5. HOW to Use FOIL By following FOIL, it allows you to multiply each term in one binomial to each term in the second binomial. (x – 2)(x + 3) F – (x)(x) = x 2 L – (-2)(3) = -6 O = (x)(3) = 3x I = (-2)(x) = -2x (x – 2)(x + 3) x 2 + 3x – 2x – 6 x 2 + x - 6 Answer

6. Example (g + 1)(g + 3) g 2 + 3g + 1g + 3 g 2 + 4g + 3 (b – 2)(b – 3)(y – 3)(2y + 1) b 2 – 3b – 2b + 6 b 2 - 5b + 6 y 2 + y – 6y - 3 y 2 – 5y - 3

7. More Examples (2n – 1)(m + 3) (p + q)(p + q) (x – 2) 2 (x – 2)(x – 2) 2nm + 6n – m - 3 Answer because their are no like terms p 2 + pq + pq + q 2 p 2 + 2pq + q 2 x 2 – 2x – 2x + 4 x 2 – 4x + 4

8. Class Work Check solutions to Lesson 27(2) in share folder DO: Lesson 28 worksheet