Question 1209675
Here's how to perform polynomial long division to find the quotient and remainder:

```
x^2 - 2x + 8         
------------------
x^2 + 2x - 5 | x^4 + 0x^3 - x^2 + 3x - 7
              x^4 + 2x^3 - 5x^2
              ------------------
                   -2x^3 + 4x^2 + 3x 
                   -2x^3 - 4x^2 + 10x
                   ------------------
                            8x^2 - 7x - 7
                            8x^2 + 16x - 40
                            ------------------
                                 -23x + 33
```

Therefore:

*   **Quotient:** x² - 2x + 8
*   **Remainder:** -23x + 33