Prove that the following statement is not true.
m m\,m is an odd number greater than 1 ⇒m2+4\Rightarrow m^2 + 4⇒m2+4 is prime.
By considering separately the case when n n\,n is odd and the case when n n\,n is even, prove that the following statement is true.
n n\,n is a positive integer ⇒n2+1\Rightarrow n^2 + 1⇒n2+1 is not a multiple of 4.
Practise Edexcel AS Level Maths Algebraic Methods with exam-style questions for AS Level Maths. 35 questions covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.