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Algebraic Methods

Algebraic Methods

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Question 23
a.

Given that x+4(x+2)(x+3)=A(x+2)+B(x+3)\displaystyle \frac{x+4}{(x+2)(x+3)}=\frac{A}{(x+2)}+\frac{B}{(x+3)}(x+2)(x+3)x+4​=(x+2)A​+(x+3)B​, show that x+4=A(x+3)+B(x+2)x+4=A(x+3)+B(x+2)x+4=A(x+3)+B(x+2).

[1]
b.

Hence express x+4(x+2)(x+3)\displaystyle \frac{x+4}{(x+2)(x+3)}(x+2)(x+3)x+4​ in the form A(x+2)+B(x+3)\displaystyle \frac{A}{(x+2)} + \frac{B}{(x+3)}(x+2)A​+(x+3)B​.

[2]
Markscheme

Algebraic Methods Questions

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

366 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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