Express x2+x+2x^2 + x + 2x2+x+2 in the form (x+a)2+b(x + a)^2 + b(x+a)2+b, where a a\,a and b b\,b are constants.
Prove that, for all values of xxx,
x2+3x+4>2x+2 x^2 + 3x + 4 > 2x + 2 x2+3x+4>2x+2211 exam-style questions on Edexcel A Level Maths Quadratics, covering 2.1 Solving Quadratics, 2.2 Completing the Square, 2.3 Sketching Quadratic Graphs, 2.4 The Discriminant, and 2.5 Modelling with Quadratics. Each one has a worked solution and a mark scheme showing where the marks go.