Problema Solution

what must be subtracted from x^3-6x^2 -15x +8 so that result is exactly divisible by x^2 + x -12?

Answer provided by our tutors

x^2+x-12  ) x^3-6x^2-15x+8 (x-7

                  x^3+x^2-12x

                  ----------------

                       -7x^2-3x+8

                       -7x^2-7x+84

                       -------------------

                                4x -80

 

So, the expression x^3-6x^2-15x+8 must be subsracted with 4x-80 to get it perfectly divisable by x^2+x-12.