Divide 2 x squared plus 3 x space minus space 14 by (x-2) the result is

Answer 1

( 2 x^2 + 3 x - 14) / (x-2)
we know 14 is 2 * 7
so try
( 2 x^2 + 3 x - 14) = (2x+7) times something
(2x+7) (x-2) ah hah
so
( 2 x^2 + 3 x - 14) / (x-2)
is
(2x+7) (x-2) / (x-2)

Answer 2

or, if you are not good at factoring, just do a long division. There are several handy web sites that show the details.