Question

Find the remainder when f(x) is divided by (x - k). f(x) = 3x3 - 4x2 - 3x + 14; k= 3

Answer 1

Let's use synth. div.  It's so much faster in cases such as this one.

Use k = 3 as your divisor.  Then:

       ________________
  3  /   3   -4   -3     14
                 9  15      36
      -------------------------
          3     5   12     50  <= the remainder is 50.