(a) Express 2x2 - 12x + 23 in the form a(x + b)2 + c, where a, b, c are integers.
(b) Write down the coordinates of the minimum point of the curve y = 2x2 - 12x + 23.
From Paper 1: Pure Mathematics 1
47 marks
The equation kx2 + 4x + (k - 3) = 0, where k is a constant, has two distinct real roots.
Find the set of possible values of k.
From Paper 2: Pure Mathematics 2
15 marks
The function f is defined by f(x) = 3/(x - 1) + 2, x > 1.
(a) State the range of f.
(b) Find f-1(x), stating its domain.
(c) Find ff(4).
From Paper 2: Pure Mathematics 2
57 marks
(a) Express (x + 11)/((x + 3)(x - 1)2) in partial fractions.
(b) Hence find the exact value of ∫23 (x + 11)/((x + 3)(x - 1)2) dx, giving your answer in the form a + bln 3/5.
Score 0 / 23 · 0 of 4 marked
This paper is written by Plasmo in the style of the Edexcel A-Level Maths exam. It is not a past paper and is not produced or endorsed by the exam board.
Algebra and functions Exam Questions: Edexcel A-Level Maths | Plasmo