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Algebraic Methods

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Question 4

Given that k k\,k is an integer, prove that n3+kn^3+kn3+k is not divisible by 8 for every integer n n\,n if and only if

k≡2,4 or 6(mod8). k\equiv 2,4\text{ or }6\pmod 8. k≡2,4 or 6(mod8).
[6]
Markscheme

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

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.

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