Neco 2017 Further Mathematics Question 7

Practice essay / theory question 7 from the 2017 Neco Further Mathematics examination. This question covers Binomial Theorem .

Neco 2017 Further Mathematics Essay / Theory

Topic: Binomial Theorem

Question 7 NECO • 2017 • FURTHER_MATHEMATICS • essay

A manufacturing firm models its profit (in thousand Naira) as \(P = (x+2)^{5} - (x-1)^{5}\), where \(x\) represents the number of thousand units produced beyond a base level. \n\nUsing the Binomial Theorem, answer the following:

( a )

Expand \((x+2)^{5}\) and \((x-1)^{5}\) up to and including the term in \(x^{3}\).

( b )

Hence determine the coefficient of \(x^{3}\) in the simplified expression for \(P\).

( c )

Find the constant term (term independent of \(x\)) in \(P\).

( d )

If the profit must be at least \(500\) (thousand Naira), find the smallest positive integer value of \(x\) that satisfies \(P \ge 500\).

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This is Neco 2017 Further Mathematics Question 7. It is one of the essay questions from the 2017 Neco Further Mathematics examination.

The question covers Binomial Theorem .

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