Multiplying Monomials and Binomials

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Multiplying Monomials and Binomials

• 1/13/09

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Multiplying Monomials

• To multiply a polynomial by a monomial, simply
  use the distributive property

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Examples

• 8x (x 2)
• 3a2 (-5a3 2a 7)

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Multiplying binomials

• Create a box
• Multiply
• Write answer
• Combine like terms (if necessary) and write in
  descending order

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(x 3)(x 4)
x
4

• x2 4x 3x 12
• x2 7x 12

x
x2
4x
3x
12
3
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Try These

• (2x 1)(x 4)
• (2xy 4x)(-2y y2)

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FOIL

• First Outer Inner Last
• Notice this is the same thing as what the box
  accomplishes