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5.9 Multiplication of Monomials and Binomials

5.9 Multiplication of Monomials and Binomials. Goals: To multiply a monomial and a poly To multiply 2 binomials (FOIL). 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. Multiply: 2x(5x + 3). Distributive.

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5.9 Multiplication of Monomials and Binomials

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

  2. 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.

  3. Multiply:2x(5x + 3) Distributive _____ Property (2x1)(5x1) + (2x1)(3) 10x2 + 6x

  4. Multiply:3x2(-5x2 + 2x - 7)

  5. 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)

  6. (x+5) (x+2) x 5 x2 5x x 2 2x 10 X2 + 2x+ 5x +10 = x2+ 7x +10

  7. (2x +3) (x-4) 2x 3 x 2x2 3x -12 -4 -8x 2x2 + 3x -8x -12 = 2x2- 5x -12

  8. “F O I L” Multiplication • F irst • O uter • I nner • L ast (x + 2) × (x + 3) x2 + 3x + 2x + 6 x2 + 5x + 6

  9. use FOIL to multiply (2x + 1)(x + 3) 2x2 + 6x + x + 3 2x2 + 7x + 3

  10. Use FOIL to multiply (3x + 2)(x + 5) 3x2 + 15x + 2x + 10 3x2 + 17x + 10

  11. Use FOIL to multiply (x + 3)(x - 5) x2 -5x + 3x - 15 x2 - 2x - 15

  12. Use FOIL to multiply (5x - 1)(2x - 7) 10x2 –35x - 2x +7 10x2 –37x + 7

  13. Use FOIL to multiply (6x + 3)(x - 4) 6x2 -24x + 3x - 12 6x2 - 21x - 12

  14. (2)(-2)(x)(y)(y) Use FOIL to multiply (2xy + 3x)(-2y - 5) - 4xy2 - 10xy - 6xy - 15x -4xy2 - 16xy – 15x

  15. AssignmentPage 242 (16-54 even) and # 60

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