Disprove the statement: n2−n+kn^2 - n + kn2−n+k is a prime number for all values of nnn, where k k\,k is a prime number. Give your counterexample in terms of kkk.
257 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof. Each one has a worked solution and a mark scheme showing where the marks go.