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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). Multiplying 2 Binomials. You can use the chart method You can FOIL. Chart Method (My Favorite). Draw a 2 x 2 box The 1 st Binomial goes on top!

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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. Multiplying 2 Binomials • You can use the chart method • You can FOIL

  3. Chart Method (My Favorite) • Draw a 2 x 2 box • The 1st Binomial goes on top! (Write the 1st term on the top left and the 2nd term on the top right) • The 2nd Binomial goes down the left side! (Write the 1st term on the top left and 2nd term on bottom left)

  4. Write the polynomial x 5 x2 5x x 2 2x 10

  5. Write the polynomial 2x 3 x 2x2 3x 12 4 8x

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

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

  8. (3x + 2)(x + 5) 3x2 + 15x + 2x + 10 3x2 + 17x + 10

  9. (x + 3)(x - 5) x2 -5x + 3x - 15 x2 - 2x - 15

  10. (5x - 1)(2x - 7) 10x2 –35x - 2x +7 10x2 –37x + 7

  11. (6x + 3)(x - 4) 6x2 -24x + 3x - 12 6x2 - 21x - 12

  12. (2)(-2)(x)(y)(y) (2xy + 3x)(-2y - 5) - 4xy2 - 10xy - 6xy - 15x -4xy2 - 16xy – 15x

  13. AssignmentPage 242 (2-54 even) and # 60

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