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Algebraic Methods

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Question 88
77%

In a high-frequency electronics design, the transfer function H(s)H(s)H(s) of a specific signal filter is given by:

H(s)=16s+11(2s−3)(4s+1) H(s) = \frac{16s + 11}{(2s - 3)(4s + 1)} H(s)=(2s−3)(4s+1)16s+11​

Determine the values of the constants AAA and BBB such that H(s)H(s)H(s) can be expressed as:

A2s−3+B4s+1 \frac{A}{2s - 3} + \frac{B}{4s + 1} 2s−3A​+4s+1B​

where AAA and BBB are integers.

[4]

Algebraic Methods Questions

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

Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 226 questions covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank