Question

what must be added to x^3-3x^2-12x+19 so that the result is exactly divisible by x^2+x-6? ​

Answer 1

Step-by-step explanation:

So, let r(x) = ax +b is added to p(x) so that p(x) + r(x) is divisible by q(x). Hence, x^ 3 - 3x ^2 -12x +19 is divisible by x ^2 + x -6 when 2x+5 is added to it.