Evaluate (frac{x^2 + x – 2}{2x^2 + x 3}) when x = 1

A.
2 
B.
1 
C.
(frac{1}{2}) 
D.
1
Correct Answer: Option D
Explanation
(frac{x^2 + x – 2}{2x^2 + x – 3})
= (frac{x^2 + 2x – x – 2}{2x^2 + 3x – 2x – 3})
= (frac{x(x + 2) – 1(x + 2)}{x(2x + 3) – 1(2x + 3)})
= (frac{(x – 1)(x + 2)}{(x – 1)(2x + 3)})
= (frac{x + 2}{2x + 3})
At x = 1,
= (frac{1 + 2}{2(1) + 3})
= (frac{1}{1})
= 1