Given that n∈Nn \in \mathbb{N}n∈N, use algebra to prove by contradiction that
“if n2+6n+3 is even, then n is odd” \text{“if } n^2 + 6n + 3 \text{ is even, then } n \text{ is odd”} “if n2+6n+3 is even, then n is odd”Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 261 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 A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 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.