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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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

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