Gce Model Questions Vol1 2025 Further Mathematics Question 43

Practice objective / multiple choice question 43 from the 2025 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2025 Further Mathematics Objective / Multiple Choice Easy Difficulty
Question 43 GCE_MODEL_QUESTIONS_VOL1 • 2025 • FURTHER_MATHEMATICS • objective

The polynomial \(P(x)=x^{4}-5x^{3}+ax^{2}+bx+30\) leaves a remainder of \(10\) when divided by \((x-2)\) and a remainder of \(-20\) when divided by \((x+3)\). Find the values of \(a\) and \(b\).

Answer Options

A. a = -\frac{46}{3},\; b = \frac{98}{3}
B. a = -\frac{58}{3},\; b = \frac{110}{3}
C. a = -\frac{52}{3},\; b = \frac{100}{3}
Correct Answer D. a = -\frac{52}{3},\; b = \frac{110}{3}
Correct Answer
D
Correct Option:
a = -\frac{52}{3},\; b = \frac{110}{3}

About This Question

This is Gce Model Questions Vol1 2025 Further Mathematics Question 43. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Easy .

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