Neco 2023 Further Mathematics Question 4

Practice essay / theory question 4 from the 2023 Neco Further Mathematics examination. This question covers Partial Fractions .

Neco 2023 Further Mathematics Essay / Theory

Topic: Partial Fractions

Question 4 NECO • 2023 • FURTHER_MATHEMATICS • essay

Express the rational function \(\displaystyle \frac{3x^{2}+5x-2}{(x-1)(x^{2}+4)}\) as a sum of partial fractions of the form \(\displaystyle \frac{A}{x-1}+\frac{Bx+C}{x^{2}+4}\). Then, using the obtained decomposition, find the value of the original expression at \(x=2\).

( a )

Determine the constants \(A,\;B\) and \(C\).

( b )

Using the constants found in part (a), evaluate the original rational function at \(x=2\).

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This is Neco 2023 Further Mathematics Question 4. It is one of the essay questions from the 2023 Neco Further Mathematics examination.

The question covers Partial Fractions .

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