(14x^2 – 33x – 5) ÷ (7x + 1)
we use long division
2x -5
------------------------
7x + 1 14x^2 - 33x - 5
14x^2 + 2x
-------------------------- (subtract bottom from top)
-35x - 5
-35x -5
----------------------------(subtract bottom from top)
0
Quotient is 2x -5
Remainder is 0