Skip to content

Course home

Algebraic Methods

Algebraic Methods

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536
Question 34
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]
Markscheme

Algebraic Methods Questions

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

40 exam-style questions on Edexcel AS 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.

Question bank