2. 5.9 Multiplication of Monomials and Binomials Goals: 1.To multiply a monomial and a poly 2.To multiply 2 binomials (FOIL)

3. How to Multiply a Mono by a Poly: Distribute the mono by the poly i.e. Multiply ever term in the poly by the mono.

4. Multiply: 2x(5x + 3) (2x 1 )(5x 1 )+(2x 1 )(3) _____ Property Distributive 10x 2 +6x

5. Multiply: 3x 2 (-5x 2 + 2x - 7)

6. Multiplying 2 Binomials You can use the chart method You can FOIL (Which ever method you choose remember to multiply every term together and collect like terms)

7. x 5x 2 x2x2 5x 2x10 (x+5) (x+2) X 2 + 2x+ 5x +10= x 2 + 7x +10

8. (2x +3) (x-4) x 32x -4 2x 2 3x -8x -12 2x 2 + 3x -8x -12 = 2x 2- 5x -12

9. “ F O I L ” Multiplication F irst O uter I nner L ast (x + 2) × (x + 3) x2x2 + 3x+ 2x+ 6 x 2 + 5x + 6

10. use FOIL to multiply (2x + 1)(x + 3) 2x 2 + 6x+ x+ 3 2x 2 + 7x + 3

11. Use FOIL to multiply (3x + 2)(x + 5) 3x 2 + 15x+ 2x+ 10 3x 2 + 17x + 10

12. Use FOIL to multiply (x + 3)(x - 5) x 2 - 5x + 3x - 15 x 2 - 2x - 15

13. Use FOIL to multiply (5x - 1)(2x - 7) 10x 2 – 35x - 2x +7 10x 2 –37x + 7

14. Use FOIL to multiply (6x + 3)(x - 4) 6x 2 - 24x + 3x - 12 6x 2 - 21x - 12

15. Use FOIL to multiply (2xy + 3x)(-2y - 5) - 4xy 2 - 10xy- 6xy- 15x -4xy 2 - 16xy – 15x (2)(-2)(x)(y)(y)

16. Assignment Page 242 (16-54 even) and # 60