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Synthetic Division

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Synthetic Division Much easier shortcut to Polynomial division. Uses only coefficients. Procedure: Use each term s coefficient Divide by the root (not the factor) – PowerPoint PPT presentation

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Title: Synthetic Division


1
Synthetic Division
  • Much easier shortcut to Polynomial division.
  • Uses only coefficients.
  • Procedure
  • Use each terms coefficient
  • Divide by the root (not the factor)
  • Bring first coefficient down
  • Multiply/Add/Repeat

2
Synthetic Division
  • Pros of Synthetic Division
  • Much quicker than polynomial division
  • Can check whether something is a root much
    faster.
  • Once you get down to x2, you can factor or use
    quadratic formula to find the remaining roots!

3
Synthetic Division Examples
  • (3x3 17x2 15x 25) (x 5)
  • (2x3 14x2 20x 7) (x 6)
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