Bece Model Questions Vol1 2024 Mathematics Question 10

Practice essay / theory question 10 from the 2024 Bece Model Questions Vol1 Mathematics examination. This question covers Algebraic Expressions .

Bece Model Questions Vol1 2024 Mathematics Essay / Theory

Topic: Algebraic Expressions

Question 10 BECE_MODEL_QUESTIONS_VOL1 • 2024 • MATHEMATICS • essay

The cubic polynomial \(P(x)=x^{3}-a x^{2}+b x-30\) is known to be exactly divisible by the quadratic \(Q(x)=x^{2}-5x+6\). Answer the questions below.

Question Parts

( a )

Determine the values of the constants \(a\) and \(b\).

( b )

Write the complete factorisation of \(P(x)\) using the values of \(a\) and \(b\) found.

( c )

Let \(p\) and \(q\) be the roots of the quadratic \(Q(x)\). Compute \(p^{3}+q^{3}\).

Detailed Solution & Marking Scheme

Get the step-by-step solution, key points required by examiners and detailed marking guidance through the Edcrib AI Tutor.

Reveal Answer

About This Question

This is Bece Model Questions Vol1 2024 Mathematics Question 10. It is one of the essay questions from the 2024 Bece Model Questions Vol1 Mathematics examination.

The question covers Algebraic Expressions .

View More Bece Model Questions Vol1 2024 Mathematics Questions More Bece Model Questions Vol1 Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Chat with Support