Question

what should be added in polynomial x3 - 3x^ + 11x+8 it is completely divisible by x^ - 3x+ 2

Answer 1

x-3
_____________
x^2 -3X+2) x^3-6x^2+11x+8
x^3-3x^2+2x
-__+____ -___
-3x^2+9x+8
-3x^2+9x+6
+___-___-_
_______2