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Algebraic Methods

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Question 105
a.

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.

[2]
b.

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.

[4]

Algebraic Methods Questions

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

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.

Question bank