Show that n=3n = 3n=3 is a counter example to the statement: When n n\,n is a prime number n2+1n^2 + 1n2+1 is always odd
Show that x=−3x = -3x=−3 is a counter example to the statement: (x+3)2(x + 3)^2(x+3)2 is always greater than x2+3x^2 + 3x2+3
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.