Question 1 - A-Level Maths

Exam Board	Edexcel
Module	C2 (Core Mathematics 2)
Year	2014
Session	January
Topic	Binomial Theorem (positive integer n)
Type	First few terms given find parameters

The first three terms in ascending powers of $x$ in the binomial expansion of $( 1 + p x ) ^ { 12 }$ are given by

$$1 + 18 x + q x ^ { 2 }$$ where $p$ and $q$ are constants.
Find the value of $p$ and the value of $q$.