What must be added to `3x^3+x^2-22 x+9` so that the result is exactly divisible by `3x^2+7x-6?`

Explanation

To find what must be added to the polynomial \(3x^3 + x^2 - 22x + 9\) so that the result is exactly divisible by \(3x^2 + 7x - 6\), we can follow these steps:

### Step 1: Perform Polynomial Long Division
We need to divide \(3x^3 + x^2 - 22x + 9\) by \(3x^2 + 7x - 6\).

1. **Divide the leading term**:
\[
\frac{3x^3}{3x^2} = x
...