Gce Model Questions Vol1 2018 Mathematics Question 21

Practice objective / multiple choice question 21 from the 2018 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2018 Mathematics Objective / Multiple Choice Medium Difficulty
Question 21 GCE_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • objective

The rational expression \(\frac{x^{2} - p x + q}{x-3}\) can be written in the form \(x + b + \frac{5}{x-3}\), where \(p, q,\) and \(b\) are integers. It is known that \(p\) and \(q\) are positive integers less than 10 and that \(p\) and \(q\) are distinct. Determine the values of \(p, q,\) and \(b\).

Answer Options

A. p = 3, q = 5, b = 1
B. p = 4, q = 5, b = 0
C. p = 3, q = 6, b = 0
Correct Answer D. p = 3, q = 5, b = 0
Correct Answer
D
Correct Option:
p = 3, q = 5, b = 0

About This Question

This is Gce Model Questions Vol1 2018 Mathematics Question 21. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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