Let p(x)=12x3−8x2−3x+2p(x) = 12x^3 - 8x^2 - 3x + 2p(x)=12x3−8x2−3x+2.
Prove that (2x−1)(2x - 1)(2x−1) is a factor of p(x)p(x)p(x).
Factorise p(x)p(x)p(x) completely.
Prove that there are no real solutions to the equation
12sec2θ+2cosθ3=83secθ+1 \frac{12 \sec^2 \theta + 2 \cos \theta}{3} = \frac{8}{3} \sec \theta + 1 312sec2θ+2cosθ=38secθ+1Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 261 questions covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
