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1.3 Multiplying Polynomials Lesson September 11 and 12 2014
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1.3 Multiplying Polynomials
1
September 12, 2014
REVIEW: Multiply...1.) 4(2x - 3)
2.) y(8x + 9)
3.) x(2x + 3)
1.3 Multiplying Polynomials
1.3 Multiplying Polynomials
2
September 12, 2014
We can use distribution to multiply polynomials.
Distribution just means that all terms in one polynomial is multiplied by each of the terms in the other polynomial. There are two methods to help us:
- Grid- FOIL
1.3 Multiplying Polynomials
3
September 12, 2014
(x + 2)(x + 4)
Method 1: Grid
1.3 Multiplying Polynomials
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September 12, 2014
(2a - 3)(a + 6)
Method 1: Grid
1.3 Multiplying Polynomials
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September 12, 2014
(2y + 9)(y - 1)
Method 1: Grid
1.3 Multiplying Polynomials
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September 12, 2014
Method 2: FOIL
An algebraic method that helps keep trackof what needs to be multiplied in binomial-binomial multiplication.
1.3 Multiplying Polynomials
7
September 12, 2014
FIRST
Method 2: FOIL
FOIL means...
(x + 5)(x + 1)
INSIDE
LAST
OUTSIDE
1.3 Multiplying Polynomials
8
September 12, 2014
Method 2: FOIL
(2x - 7)(x + 1)
1.3 Multiplying Polynomials
9
September 12, 2014
Method 2: FOIL
(x - 3)(5x + 2)
1.3 Multiplying Polynomials
10
September 12, 2014
Some Challenges...
(x - 3)(x2 - 5x + 9)
1.3 Multiplying Polynomials
11
September 12, 2014
1.3 Multiplying Polynomials
12
September 12, 2014
1.3 Multiplying Polynomials
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September 12, 2014
Some Challenges...
(2x-3)2
1.3 Multiplying Polynomials
14
September 12, 2014
Some Challenges...
(x - 4)(x + 5)(2x - 1)
1.3 Multiplying Polynomials
15
September 12, 2014
Some Challenges...
(x - 4)(x + 5) + (2x - 1)