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.
Practise Edexcel A Level Maths 1.3 Partial Fractions with exam-style questions for A Level Maths. 13 questions, 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.