can you divide (x^2-10x+30) / (x-5)
Yes, the expression (x^2-10x+30)/(x-5) can be divided using long division or synthetic division.
Using long division:
x - 5 | x^2 - 10x + 30
- (x^2 - 5x)
----------------
-5x + 30
- (-5x + 25)
--------------
5
Therefore, (x^2-10x+30)/(x-5) = x - 5 + 5/(x-5).