Find the quotient and remainder using long division for \frac(x^3 -6 x^2 + 13 x -28)(x-4)

Question

Find the quotient and remainder using long division for
\frac(x^3 -6 x^2 + 13 x -28)(x-4)

Answer 1

 

              x² -  2x  +  5 - 8/(x - 4)
x-4/x³ - 6x² + 13x - 28
     -x³+ 4x²
           -2x² + 13x
           +2x² -  8x
                      5x - 28
                   - 5x + 20
                           -  8

x2 - 2x + 5 - 8/(x - 4)