Question 1 - A-Level Maths

Exam Board	Edexcel
Module	C3 (Core Mathematics 3)
Year	2006
Session	June
Topic	Polynomial Division & Manipulation

Simplify \(\frac { 3 x ^ { 2 } - x - 2 } { x ^ { 2 } - 1 }\).
Hence, or otherwise, express \(\frac { 3 x ^ { 2 } - x - 2 } { x ^ { 2 } - 1 } - \frac { 1 } { x ( x + 1 ) }\) as a single fraction in its simplest form.