what is 14xsquared + 3x - 5 divided by 2x+5?
14x^2 + 3x - 5 (factor)
(7x +5) (2x - 1) thus.....2x + 5 doesn't divide this equally......so we have
7x - 16
2x + 5 14x^2 + 3x - 5
14x^2 + 35x
----------------------
-32x - 5
-32x - 80
-----------
75
= (7x - 16) Remainder (75) / (2x + 5)
You have set that algebraic division out really nicely Chris