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5.9 Multiplication of Monomials
and Binomials
• Goals:
1. To multiply a monomial and a poly
2. 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)
 2 x  5x  10
 x  5Write
 x  2the
  xpolynomial
2
x
5
x
x2
5x
2
2x
10
x  8x  3x  12
 2 x  3Write
 x  4the
  2polynomial
2
2x
x
2x2
4
8x
3
3x
12
“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