How do you use the remainder theorem and synthetic division to find k=2; #f(x)=-5x^5-5x^3-2x^2+2#?

1 Answer
Feb 15, 2017

Remainder Theorem says the remainder in a synthetic division will be #f(k) = f(2) =-206#


Using Synthetic Division:

  1. Put each coefficient including missing coefficients in the first row
  2. Drop the first coefficient down
  3. Multiply this coefficient by the multiplier #k=2# and place in the second row below the 2nd coefficient
  4. Add the two rows.
  5. Repeat steps 3 & 4 until finished.
  6. The last sum is the remainder #-206#
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