A data scientist is analyzing a secure hash algorithm that produces integer outputs defined by the function H(n)=n2+14H(n) = n^2 + 14H(n)=n2+14, where n n\,n is any integer. Use the method of proof by contradiction to show that it is impossible for any hash output H(n)H(n)H(n) to be exactly divisible by 4.
Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 226 questions covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division, 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.
