Question 7 - A-Level Maths

Exam Board	CAIE
Module	P3 (Pure Mathematics 3)
Year	2015
Session	November
Topic	Integration with Partial Fractions

Show that ( \(x + 1\) ) is a factor of \(4 x ^ { 3 } - x ^ { 2 } - 11 x - 6\).
Find \(\int \frac { 4 x ^ { 2 } + 9 x - 1 } { 4 x ^ { 3 } - x ^ { 2 } - 11 x - 6 } \mathrm {~d} x\).