Question

The rational expressionwrite this ratio in the form p(x) + x/(x - 2) Where is some x - 2

Answer 1

`(2x^2+5x-14)/(x-2)=(2x+9)+(4)/(x-2)`

Explanation:

Given rational expression is,

`(2x^2+5x-14)/(x-2)`

x - 2) 2x² + 5x - 14(2x + 9

2x² - 4x

9x - 14

9x - 18

4

Therefore,
`(2x^2+5x-14)/(x-2)=(2x+9)+(4)/(x-2)` is the answer.