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Algebraic Methods

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Question 250
a.

Express 3x+5(x−2)2\frac{3x + 5}{(x - 2)^2}(x−2)23x+5​ in the form Ax−2+B(x−2)2\frac{A}{x - 2} + \frac{B}{(x - 2)^2}x−2A​+(x−2)2B​.

[2]
b.

Show that

∫353x+5(x−2)2 dx=p+ln⁡q \int_{3}^{5} \frac{3x + 5}{(x - 2)^2} \, dx = p + \ln q ∫35​(x−2)23x+5​dx=p+lnq

where ppp and qqq are rational numbers.

[5]
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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