Multiplying Polynomials

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Multiplying Polynomials

• This PowerPoint will show you two methods that
  will multiply polynomials

Brandon Young
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What are Polynomials?

• A polynomial is made up of terms that are only
  added, subtracted, or multiplied.
• It can have constants, variables, and exponents.
• Polynomials can have many terms.

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Multiply. (2x 3)(5x 8)

• Using the Distributive property, multiply
• 2x(5x 8) 3(5x 8).
• 10x2 16x 15x 24
• Combine like terms.
• 10x2 31x 24
• Another option is called the FOIL method.

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FOIL

• First terms
• Outer terms
• Inner terms
• Last terms

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Foil Method

• The FOIL method can be used when you multiply 2
  binomials. It tells you which terms to multiply.
• Use the FOIL method to multiply these
  binomials(y 3)(y 7).

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• (y 3)(y 7). F tells you to multiply the
  FIRST terms of each binomial.
• y2

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• (y 3)(y 7). O tells you to multiply the
  OUTER terms of each binomial.

y2 7y
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• (y 3)(y 7). I tells you to multiply the
  INNER terms of each binomial.

y2 7y 3y
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Monomial times a Binomial

• x(x4)
• Multiply each term in the parentheses by x
• x24x
• The problem was completed using the distributive
  property.

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Monomial times a Trinomial

• 2x(x23x4)
• Multiply the Monomial 2x by the Trinomial
  x23x4
• 2x36x28x

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• (y 3)(y 7). L tells you to multiply the
  LAST terms of each binomial.

y2 7y 3y 21 Combine like terms. y2 10y
21 is your Final Answer.
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Sources

• http//www.mathsisfun.com/algebra/polynomials.html
  -

http//www.wyzant.com/Help/Math/Algebra/FOIL.aspx
http//www.regentsprep.org/regents/math/algebra/AV
3/multMon.htm