Question

What must be added to 3x3 + x2 − 22x + 9 so that the result is exactly divisible by 3x2 + 7x -6?

Answer 1

Let p(x) = 3x3 + x2 − 22x + 9 and q(x) = 3x2 + 7x -6

Hence, 3x3 + x2 − 22x + 9 will be divisible by 3x2 + 7x -6 is added to it.