Question

What must be subtracted from x³ -6x² -15x +80 so that the result is exactly divisible by x² +x -12?

Answer 1

Let p(x) = x³ -6x² -15x +80 and q(x) = x² +x -12

Hence, p(x) is divisible by q (x), if r(x) = 4x-4 is subtracted from it.