Let f(x) = x^4 – 8x^3 + 16x^2 – 19 and g(x) = x – 5.

Question

Find f(x)/g(x)

Answer 1

The fuction is f( x) =x^4 – 8x^3 + 16x^2 – 19

Synthetic  division f(x) by ( x - 5)

 5  | 1   -8    16   0  -19

       0    5   -15   5    25

______________________

       1    -3    1   5     6

Remainder is 6

The  solution  is  x³-3x^2 + x +5+( 6/ ( x - 5).)