Gce Model Questions Vol1 2017 Mathematics Question 5

Practice essay / theory question 5 from the 2017 Gce Model Questions Vol1 Mathematics examination. This question covers Algebraic Expressions .

Gce Model Questions Vol1 2017 Mathematics Essay / Theory
Topic: Algebraic Expressions
Question 5 GCE_MODEL_QUESTIONS_VOL1 • 2017 • MATHEMATICS • essay

Consider the algebraic expression E = \frac{2x^{3} - 6x^{2} - 8x + 24}{x^{2} - 4}, where x is a real number and x \neq \pm 2.

Question Parts

( a )
Simplify E completely.
( b )
Hence find the set of all real values of x for which E > 0.
( c )
Given that 0 < x \le 10, find the sum of all integer values of x that satisfy the inequality in part (b).

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About This Question

This is Gce Model Questions Vol1 2017 Mathematics Question 5. It is one of the essay questions from the 2017 Gce Model Questions Vol1 Mathematics examination.

The question covers Algebraic Expressions .

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