Bece Model Questions Vol1 2017 Mathematics Question 10

Practice essay / theory question 10 from the 2017 Bece Model Questions Vol1 Mathematics examination. This question covers Algebraic Expressions, Factor Theorem, Remainder Theorem .

Bece Model Questions Vol1 2017 Mathematics Essay / Theory
Topics: Algebraic Expressions Factor Theorem Remainder Theorem
Question 10 BECE_MODEL_QUESTIONS_VOL1 • 2017 • MATHEMATICS • essay

Consider the cubic algebraic expression \[E(x) = 2x^{3} - m x^{2} + n x - 12,\] where \(m\) and \(n\) are integers. It is known that \((x-2)\) and \((x+3)\) are factors of \(E(x)\).

Question Parts

( a )
Determine the values of \(m\) and \(n\).
( b )
Using the values of \(m\) and \(n\) found in part (a), find the remainder when \(E(x)\) is divided by \((x-1)\).

Detailed Solution & Marking Scheme

Get the step-by-step solution, key points required by examiners and detailed marking guidance through the Edcrib AI Tutor.

Reveal Answer

About This Question

This is Bece Model Questions Vol1 2017 Mathematics Question 10. It is one of the essay questions from the 2017 Bece Model Questions Vol1 Mathematics examination.

The question covers Algebraic Expressions, Factor Theorem, Remainder Theorem .

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support