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2.3 Multiplying Polynomials
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2.3 Multiplying Polynomials
2.3 Multiplying Polynomials
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REVIEW:Multiply: 4(2x - 3)
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REVIEW:Multiply: y(8x + 9)
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REVIEW:Multiply: x(2x + 3)
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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
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(x + 2)(x + 4)
Method 1: Grid
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(2a - 3)(a + 6)
Method 1: Grid
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(2y + 9)(y - 1)
Method 1: Grid
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Method 2: FOIL
An algebraic method that helps keep trackof what needs to be multiplied in binomial-binomial multiplication.
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FIRST
Method 2: FOIL
FOIL means...
(x + 5)(x + 1)
INSIDE
LAST
OUTSIDE
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Method 2: FOIL
(2x - 7)(x + 1)
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Method 2: FOIL
(x - 3)(5x + 2)
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Some Challenges...
(x - 3)(x2 - 5x + 9)
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Some Challenges...
(x - 4)(x + 5)(2x - 1)
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2.3 Multiplying Polynomials
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Special Polynomials
(x + 4)2 = ____________
Perfect Square Trinomials
Use FOIL...
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Special Polynomials
(x + 4)2
Perfect Square Trinomials
Shortcut: (a + b) = a2 + 2ab + b2
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(2y + 5)2
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(6x - 3)2
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Special Polynomials
(x + 3)(x - 3)
Difference of Squares
Use FOIL...
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Special Polynomials
(x + 3)(x - 3)
Difference of Squares
Shortcut: (a + b)(a - b) = a2 - b2
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(2y - 3)(2y + 3)
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(4a - 3)(4a + 3) - (2a + 9)2
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