Neco 2020 Further Mathematics Question 3

Practice essay / theory question 3 from the 2020 Neco Further Mathematics examination. This question covers Polynomials and Algebraic Expressions .

Neco 2020 Further Mathematics Essay / Theory

Topic: Polynomials and Algebraic Expressions

Question 3 NECO • 2020 • 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 \(P(x)\) and that when \(P(x)\) is divided by \((x+3)\) the remainder is \(15\).

Question Parts

( a )

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

( b )

Using the values of \(a\) and \(b\) found in part (a), state the sum of the three zeros of \(P(x)\).

( c )

Evaluate \(P(1)\) using the polynomial with the determined coefficients.

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About This Question

This is Neco 2020 Further Mathematics Question 3. It is one of the essay questions from the 2020 Neco Further Mathematics examination.

The question covers Polynomials and Algebraic Expressions .

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