Gce Model Questions Vol1 2017 Mathematics Question 8

Practice essay / theory question 8 from the 2017 Gce Model Questions Vol1 Mathematics examination. This question covers Inequalities .

Gce Model Questions Vol1 2017 Mathematics Essay / Theory
Topic: Inequalities
Question 8 GCE_MODEL_QUESTIONS_VOL1 • 2017 • MATHEMATICS • essay

Determine all real values of the parameter k for which the inequality 3x^2 – 12x + k > 0 holds for every real number x.

Question Parts

( a )
State the condition on the discriminant of the quadratic expression that guarantees the quadratic is always positive.
( b )
Find the range of k that satisfies the condition identified in part (a).
( c )
Verify your result by checking the inequality for a value of k within the obtained range and for a value outside the range.

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About This Question

This is Gce Model Questions Vol1 2017 Mathematics Question 8. It is one of the essay questions from the 2017 Gce Model Questions Vol1 Mathematics examination.

The question covers Inequalities .

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