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Algebraic Methods

Algebraic Methods

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Question 3
a.

Given that aaa, bbb, d d\,d and e e\,e are integers, where b≠0 b \ne 0\,b=0 and e≠0e \ne 0e=0, show that

de−ab \frac{d}{e}-\frac{a}{b} ed​−ba​

is rational.

[2]
b.

Hence prove by contradiction that the sum of a rational number and an irrational number is irrational

[4]
Markscheme

Algebraic Methods Questions

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

368 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division. Each one has a worked solution and a mark scheme showing where the marks go.

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