5.9 Multiplication of Monomials and Binomials

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Presentation transcript:

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 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)

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

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

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

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

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

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

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

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

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

Assignment Page 242 (2-54 even) and # 60