Question 12 - A-Level Maths

Exam Board	OCR MEI
Module	C1 (Core Mathematics 1)
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 \(( 1 + 2 x ) ^ { 7 }\).