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Algebraic Methods

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Question 3
a.

Prove that for positive values of a a\,a and bbb

16ab+9ba≥24 \frac{16a}{b} + \frac{9b}{a} \geq 24 b16a​+a9b​≥24
[4]
b.

Prove, by counterexample, that this is not true for all non-zero values of a a\,a and bbb.

[2]
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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