6.4 MULTIPLYING POLYNOMIALS

Sec 6.4 - 1

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Multiplying Monomials

We multiply polynomials by using the distributive, commutative, and associative properties along with the rules of exponents.

Multiply the numerical factors, then multiply the variable factors.

6.4 MULTIPLYING POLYNOMIALS

Sec 6.4 - 2

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Multiplying a Binomial by a Binomial

To multiply two binomials, multiply each term of one binomial by each term of the other binomial and combine like terms.

6.4 MULTIPLYING POLYNOMIALS

Sec 6.4 - 3

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Multiplying a Binomial by a Binomial

To multiply two binomials, multiply each term of one binomial by each term of the other binomial and combine like terms.

6.4 MULTIPLYING POLYNOMIALS

Sec 6.4 - 4

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Multiplying Polynomials Vertically

Find the product.

6.4 MULTIPLYING POLYNOMIALS

Sec 6.4 - 5

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Using the FOIL Method

We can use a shortcut method, called the FOIL method, to multiply binomials. FOIL is an acronym for First terms, Outer terms, Inner terms, and Last terms. To use the FOIL method to multiply 2a – 4 by 3a + 5, we

6.4 MULTIPLYING POLYNOMIALS

Sec 6.4 - 6

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Using the FOIL Method

Inner terms

Outer terms

First terms Last terms

6.4 MULTIPLYING POLYNOMIALS

Sec 6.4 - 7

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Product of the Sum and Difference of Two Terms

6.4 MULTIPLYING POLYNOMIALS

Sec 6.4 - 8

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Finding the Square of a Binomial

6.4 MULTIPLYING POLYNOMIALS

Sec 6.4 - 9

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Finding the Square of a Binomial

6.4 MULTIPLYING POLYNOMIALS

Sec 6.4 - 10

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Multiplying More Complicated Polynomials