### Given that \( Ax^3 + Bx^2 + x + 6 \) is exactly divisible by \((x + 1)(x - 2)\), find the value of A and the value of B.

Sure, here is the step by step solution:

1. Given that the polynomial Ax^3 + Bx^2 + x + 6 is exactly divisible by (x + 1)(x – 2), it means that if we substitute x = -1 and x = 2 into the polynomial, it should equal to zero.

2. Substituting x = -1 into the polynomial, we get: A(-1)^3 + B(-1)^2 - Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.