Question 12 - A-Level Maths

Exam Board	AQA
Module	Paper 1 (Paper 1)
Year	2018
Session	June
Topic	Factor & Remainder Theorem
Type	Verify, factorise, solve with substitution

Prove that ( $2 x + 1$ ) is a factor of $\mathrm { p } ( x )$
12
Factorise $\mathrm { p } ( x )$ completely.
12
Prove that there are no real solutions to the equation $$\frac { 30 \sec ^ { 2 } x + 2 \cos x } { 7 } = \sec x + 1$$