What must be added to `x^4+2x^3-2x^2+x-1` so that the result is exactly divisible by `x^2+2x-3.`

Explanation

To solve the problem of what must be added to the polynomial \( p(x) = x^4 + 2x^3 - 2x^2 + x - 1 \) so that it is exactly divisible by \( q(x) = x^2 + 2x - 3 \), we can follow these steps:

### Step 1: Identify the polynomials
Let \( p(x) = x^4 + 2x^3 - 2x^2 + x - 1 \) and \( q(x) = x^2 + 2x - 3 \).

### Step 2: Factor \( q(x) \)
To find the roots of \( q(x) \), we can factor it:
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