Question

What must be added to x³ - 3x² - 12x + 19 so that the result is exactly divisible by x² + x - 6 ?

please answer

Answer 1

Answer:

x^3+x^2-6x. -4x^2-6x+19. -4x^2-4x+24

2x+5

Divide x^3-3x^2-12x+19 by x^2+x-6

You get reminder -2x -5

So if you add 2x + 5 it will be exactly divisible