2.3 Multiplying Polynomials

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)

2.3 Multiplying Polynomials

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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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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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