1.3 Multiplying Polynomials

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REVIEW: Multiply...1.) 4(2x - 3)

2.) y(8x + 9)

3.) x(2x + 3)

1.3 Multiplying Polynomials

1.3 Multiplying Polynomials

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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

1.3 Multiplying Polynomials

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September 12, 2014

(x + 2)(x + 4)

Method 1: Grid

1.3 Multiplying Polynomials

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(2a - 3)(a + 6)

Method 1: Grid

1.3 Multiplying Polynomials

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(2y + 9)(y - 1)

Method 1: Grid

1.3 Multiplying Polynomials

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Method 2: FOIL

An algebraic method that helps keep trackof what needs to be multiplied in binomial-binomial multiplication.

1.3 Multiplying Polynomials

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September 12, 2014

FIRST

Method 2: FOIL

FOIL means...

(x + 5)(x + 1)

INSIDE

LAST

OUTSIDE

1.3 Multiplying Polynomials

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Method 2: FOIL

(2x - 7)(x + 1)

1.3 Multiplying Polynomials

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September 12, 2014

Method 2: FOIL

(x - 3)(5x + 2)

1.3 Multiplying Polynomials

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Some Challenges...

(x - 3)(x2 - 5x + 9)

1.3 Multiplying Polynomials

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1.3 Multiplying Polynomials

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1.3 Multiplying Polynomials

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Some Challenges...

(2x-3)2

1.3 Multiplying Polynomials

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Some Challenges...

(x - 4)(x + 5)(2x - 1)

1.3 Multiplying Polynomials

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Some Challenges...

(x - 4)(x + 5) + (2x - 1)