Neco 2023 Further Mathematics Question 3

Practice essay / theory question 3 from the 2023 Neco Further Mathematics examination. This question covers Polynomials and Algebraic Expressions .

Neco 2023 Further Mathematics Essay / Theory

Topic: Polynomials and Algebraic Expressions

Question 3 NECO • 2023 • FURTHER_MATHEMATICS • essay

Let \(f(x)=2x^{3}+ax^{2}+bx+12\). It is known that when \(f(x)\) is divided by \((x-3)\) the remainder is \(6\), and when divided by \((x+2)\) the remainder is \(-4\). Also, the sum of the roots of the equation \(f(x)=0\) is \(5\).

Question Parts

( a )

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

( b )

Using the values of \(a\) and \(b\) found in part (a), evaluate \(f(1)\).

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About This Question

This is Neco 2023 Further Mathematics Question 3. It is one of the essay questions from the 2023 Neco Further Mathematics examination.

The question covers Polynomials and Algebraic Expressions .

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