Bece Model Questions Vol1 2025 Mathematics Question 10

Practice essay / theory question 10 from the 2025 Bece Model Questions Vol1 Mathematics examination. This question covers Algebraic Expressions, Factor theorem, Polynomial manipulation .

Bece Model Questions Vol1 2025 Mathematics Essay / Theory

Topics: Algebraic Expressions Factor theorem Polynomial manipulation

Question 10 BECE_MODEL_QUESTIONS_VOL1 • 2025 • MATHEMATICS • essay

Let \(f(x) = ax^{3}+bx^{2}+cx+d\) be a cubic polynomial with integer coefficients.

Question Parts

( a )

It is known that \(f(1)=10\), \(f(2)=20\) and that \((x-3)\) is a factor of \(f(x)-5x\). Determine the values of \(a, b, c\) and \(d\).

( b )

Show that \(f(x)\) can be expressed in the form \((x-3)g(x)+5x\) and determine the quadratic polynomial \(g(x)\).

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About This Question

This is Bece Model Questions Vol1 2025 Mathematics Question 10. It is one of the essay questions from the 2025 Bece Model Questions Vol1 Mathematics examination.

The question covers Algebraic Expressions, Factor theorem, Polynomial manipulation .

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