Question

Divide these polynomials. (x4 - 5x3 + 7x2 - 4x + 3) /(x - 3)

Answer 1

Important:  please use " ^ " to indicate exponentiation:

x^4 - 5x^3 + 7x^2 - 4x + 3

If you want to divide this by x-3, synth. division would be perfect.  Use +3 as your divisor:

      __________________
 3  /    1   -5   7   -4   3
                3  -6    3  -3
     -------------------------------
          1   -2    1   -1    0    Since the remainder is zero, we know that 3 is a                                                root and (x-3) is a factor.    The quotient we can
                                          write using the coefficients shown:  {1, -2, 1, -1}:

x^3 - 2x^2 + x - 1   (answer)