6.2 Multiplying polynomials

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6.2 Multiplying polynomials
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The Product of Two Binomials

• We use the acronym below to multiply two
  binomials.
• F
• O
• I
• L

FIRST
OUTSIDE
INSIDE
LAST
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• 1. 2.

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SPECIAL CASES

• 1. The product of the sum and difference of two
  terms.
• 2. The square of a binomial sum.
• 3. The square of a binomial difference.

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• 3. 4.

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MULTIPLYING A BINOMIAL BY A TRINOMIAL

• Multiply each term of one of the polynomials by
  each term of the other, and then add all the
  monomial products.
• It may be helpful to line up the common terms
  vertically.

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Find each product.

• 5.

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• 6.

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CUBING A BINOMIAL

• To cube a binomial, write the binomial
• times. FOIL two binomials and then
  multiply the resulting trinomial by the remaining
  binomial.

three
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• 7.

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• 8.

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Polynomials in Several Variables

• Multiplication works the same for multiple
  variables as it does for one variable, just make
  sure to only combine terms.

like
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• 9.

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• 10.