Neco 2022 Mathematics Question 5

Practice essay / theory question 5 from the 2022 Neco Mathematics examination. This question covers Algebraic Expressions, Remainder Theorem, Factorisation, Roots of Polynomials .

Neco 2022 Mathematics Essay / Theory

Topics: Algebraic Expressions Remainder Theorem Factorisation Roots of Polynomials

Question 5 NECO • 2022 • MATHEMATICS • essay

A cubic polynomial is given by \(P(x)=3x^{3}-kx^{2}+12x-8\). It is known that \(P(x)\) is exactly divisible by \((x-2)\).\n\nAnswer the following:

Question Parts

( a )

Find the value of \(k\).

( b )

Factorise \(P(x)\) completely over the real numbers.

( c )

Using the factorisation obtained, determine the sum of the remaining two (possibly complex) roots of \(P(x)=0\).

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About This Question

This is Neco 2022 Mathematics Question 5. It is one of the essay questions from the 2022 Neco Mathematics examination.

The question covers Algebraic Expressions, Remainder Theorem, Factorisation, Roots of Polynomials .

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