Bece Model Questions Vol1 2018 Mathematics Question 10

Practice essay / theory question 10 from the 2018 Bece Model Questions Vol1 Mathematics examination. This question covers Algebraic Expressions .

Bece Model Questions Vol1 2018 Mathematics Essay / Theory
Topic: Algebraic Expressions
Question 10 BECE_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • essay

Consider the quartic polynomial \[ P(x)=x^{4}+k x^{3}-6x^{2}+m x+12. \] It is known that \((x-2)\) and \((x+3)\) are factors of \(P(x)\).

Question Parts

( a )
Find the values of the constants \(k\) and \(m\).
( b )
Write \(P(x)\) as a product of four linear factors.
( c )
Using the factorisation obtained in part (b), compute the product of the constant terms of each linear factor.

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This is Bece Model Questions Vol1 2018 Mathematics Question 10. It is one of the essay questions from the 2018 Bece Model Questions Vol1 Mathematics examination.

The question covers Algebraic Expressions .

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