divide (-7x + x^2 +15) ÷ (-3 + x)

Using long division, we can divide (-7x + x^2 + 15) by (-3 + x) as follows:

x - 4
---------------
-3 + x | x^2 - 7x + 15
-x^2 + 3x
----------
-4x + 15
4x - 12
-----------
27

Therefore, (-7x + x^2 + 15) ÷ (-3 + x) = x - 4 + 27/(-3 + x).