Prove that the following statement is not true.
m m\,m is an odd number greater than 1 ⇒m2+10\Rightarrow m^2 + 10⇒m2+10 is prime.
Prove that the following statement is true.
n n\,n is a positive integer ⇒n2+2\Rightarrow n^2 + 2⇒n2+2 is not a multiple of 4.
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.