Gce Model Questions Vol1 2025 Further Mathematics Question 18

Practice objective / multiple choice question 18 from the 2025 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2025 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 18 GCE_MODEL_QUESTIONS_VOL1 • 2025 • FURTHER_MATHEMATICS • objective

The polynomial \(x^{4}-5x^{3}+7x^{2}-5x+6\) can be expressed as the product of two monic quadratic polynomials with integer coefficients. One of the factors is \(x^{2}+px+q\). Find all possible ordered pairs \((p,q)\).

Answer Options

A. (1,1) and (-5,7)
Correct Answer B. (0,1) and (-5,6)
C. (0,2) and (-5,5)
D. (1,2) and (-4,5)
Correct Answer
B
Correct Option:
(0,1) and (-5,6)

About This Question

This is Gce Model Questions Vol1 2025 Further Mathematics Question 18. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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