5 9 multiplication of monomials and binomials
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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
5.9 Multiplication of Monomials and Binomials
  • Goals:
  • To multiply a monomial and a poly
  • To multiply 2 binomials (FOIL)
multiplying 2 binomials
Multiplying 2 Binomials
  • You can use the chart method
  • You can FOIL
chart method my favorite
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 polynomial1
Write the polynomial

2x

3

x

2x2

3x

12

4

8x

f o i l multiplication
“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
use FOIL to multiply

(2x + 1)(x + 3)

2x2

+ 6x

+ x

+ 3

2x2 + 7x + 3

slide9
(3x + 2)(x + 5)

3x2

+ 15x

+ 2x

+ 10

3x2 + 17x + 10

slide10
(x + 3)(x - 5)

x2 -5x + 3x - 15

x2 - 2x - 15

slide11
(5x - 1)(2x - 7)

10x2 –35x - 2x +7

10x2 –37x + 7

slide12
(6x + 3)(x - 4)

6x2 -24x + 3x - 12

6x2 - 21x - 12

slide13
(2)(-2)(x)(y)(y)

(2xy + 3x)(-2y - 5)

- 4xy2

- 10xy

- 6xy

- 15x

-4xy2 - 16xy – 15x

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