Neco 2017 Further Mathematics Question 3

Practice essay / theory question 3 from the 2017 Neco Further Mathematics examination. This question covers Polynomials, Factor theorem, Remainder theorem, Roots of polynomial .

Neco 2017 Further Mathematics Essay / Theory

Topics: Polynomials Factor theorem Remainder theorem Roots of polynomial

Question 3 NECO • 2017 • FURTHER_MATHEMATICS • essay

A cubic polynomial is given by \(P(x)=2x^{3}+ax^{2}+bx-12\). It is known that \(x-2\) is a factor of \(P(x)\).

Question Parts

( a )

Determine the values of the coefficients \(a\) and \(b\).

( b )

Find the remainder when \(P(x)\) is divided by \(x+3\).

( c )

After factoring out \((x-2)\) and \((x+3)\) from \(P(x)\), obtain the remaining quadratic factor and state the sum of its roots.

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About This Question

This is Neco 2017 Further Mathematics Question 3. It is one of the essay questions from the 2017 Neco Further Mathematics examination.

The question covers Polynomials, Factor theorem, Remainder theorem, Roots of polynomial .

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