Synthetic Division Exercise

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Synthetic Division Exercise
Use synthetic division to obtain
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Step 1. Set up the synthetic division structure.
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Step 2Perform the synthetic division steps.

• To obtain the next entry in Row 2, multiply the
  last entry in Row 3 by 5.
• To obtain the next entry in Row 3, add the
  corresponding entries in Row 1 and Row 2.

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Step 3Interpret the Solution in Row 3.

• Identify the powers of x that correspond to the
  entries in Row 3.
• The rightmost entry is the remainder.
• The entry to the left of the remainder is the
  constant.
• Proceeding to the left from the constant, we find
  the coefficients for x, x-squared, etc.

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Final Step
Verify the quotient by using the Distributive
Property and FOIL to multiply the divisor times
the quotient and remainder to obtain the
dividend.