Question

Find the remainder of (x4 – 2) ÷ (x + 1).

Answer 1

Please write   (x4 – 2) ÷ (x + 1)  as  (x^4 – 2) ÷ (x + 1).

We can find the remainder using synth. div. as follows:

      _________________
-1  /  1    0    0    0    -2
              -1    1   -1    1
     ------------------------------
         1   -1    1   -1    -1

The remainder is -1.