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 solve the problem of 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: Define the Polynomials
Let:
- \(p(x) = 3x^3 + x^2 - 22x + 9\)
- \(q(x) = 3x^2 + 7x - 6\)

We need to find a polynomial \(r(x)\) such that \(p(x) + r(x)\) is divisible by \(q(x)\).
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