5.9 Multiplication of Monomials and Binomials Goals: 1.To multiply a monomial and a poly 2.To...
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Transcript of 5.9 Multiplication of Monomials and Binomials Goals: 1.To multiply a monomial and a poly 2.To...
5.9 Multiplication of Monomials and Binomials
• Goals:
1. To multiply a monomial and a poly
2. To multiply 2 binomials (FOIL)
How to Multiply a Mono by a Poly:
• Distribute the mono by the poly
• i.e. Multiply ever term in the poly by the mono.
Multiply: 2x(5x + 3)(2x1)(5x1)
+(2x1)(3)
_____ PropertyDistributive
10x2 + 6x
Multiply: 3x2(-5x2 + 2x - 7)
4 3 215 6 21x x x
Multiplying 2 Binomials
• You can use the chart method
• You can FOIL
(Which ever method you choose remember to multiply every term together and collect like terms)
x
5x
2
x2 5x
2x
10
(x+5) (x+2)
X2 + 2x+ 5x +10 = x2 + 7x +10
(2x +3) (x-4)
x
32x
-4
2x2 3x
-8x -12
2x2 + 3x -8x -12 = 2x2- 5x -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
Use FOIL to multiply
(3x + 2)(x + 5)
3x2 + 15x
+ 2x
+ 10
3x2 + 17x + 10
Use FOIL to multiply(x + 3)(x - 5)
x2 - 5x + 3x - 15
x2 - 2x - 15
Use FOIL to multiply(5x - 1)(2x - 7)
10x2 – 35x - 2x +7
10x2 –37x + 7
Use FOIL to multiply(6x + 3)(x - 4)
6x2 - 24x + 3x - 126x2 - 21x - 12
Use FOIL to multiply
(2xy + 3x)(-2y - 5)
- 4xy2
- 10xy
- 6xy
- 15x
-4xy2 - 16xy – 15x
(2)(-2)(x)(y)(y)
AssignmentAssignmentPage 242 (16-54 even) Page 242 (16-54 even)
and # 60and # 60