Question 5 - A-Level Maths

Exam Board	OCR MEI
Module	C1 (Core Mathematics 1)
Year	2009
Session	January
Topic	Binomial Theorem (positive integer n)
Type	Standard binomial expansion coefficient

Find the coefficient of \(x ^ { 3 }\) in the expansion of \(\left( x ^ { 2 } - 3 \right) \left( x ^ { 3 } + 7 x + 1 \right)\).
Find the coefficient of \(x ^ { 2 }\) in the binomial expansion of \(( 1 + 2 x ) ^ { 7 }\).