Find a counter example to disprove the statement: When n n\,n is a prime number n2 n^2\,n2 is always odd
Find a counter example to disprove the statement: (x+1)2(x + 1)^2(x+1)2 is always greater than x2+2x^2 + 2x2+2
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.