Write down the possible final digits of nnn, where n n\,n is a prime number greater than 5.
Hence prove that n n\,n is a prime number greater than 5 ⇒n4 \Rightarrow n^4\,⇒n4 has final digit 1
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.