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**5.4 Multiplying Polynomials**

Objective: Multiply monomials by binomials and trinomials. Learn to use the F.O.I.L. method.

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Distribution 3x(5x2 + 3) 5x2y4(4x2 + 6x + 3y)

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F.O.I.L. is an acronym. F irst O uter I nner L ast

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**(x + 2)(x + 3) Multiply Binomials F. O. I. L. x2 + 3x + 2x + 6**

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**(x + 5)(x – 3) Multiply Binomials F O I L x2 – 3x + 5x – 15**

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**(2x – 3)(4x + 5) Multiply Binomials F O I L 8x2 + 10x – 12x – 15**

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**(2x – 4)(x – 2) Multiply Binomials F O I L 2x2 – 4x – 4x + 8**

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**(2x + y)(x + 2y) Multiply Binomials F O I L 2x2 + 4xy + xy + 2y2**

= 2x2 + 5xy + 2y2

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**(x + 2)(x2 + 3x + 4) Multiply Polynomials x3 + 3x2 + 4x + 2x2 + 6x + 8**

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Assignment 5.4 Worksheet

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