Neco 2021 Further Mathematics Question 40

Practice objective / multiple choice question 40 from the 2021 Neco Further Mathematics examination.

Neco 2021 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 40 NECO • 2021 • FURTHER_MATHEMATICS • objective

Let \(f(x)=2x^{3}+qx^{2}+rx+s\) be a cubic polynomial with leading coefficient \(2\). It satisfies \(f(1)=4\), \(f(2)=-1\) and \(f(3)=10\).\\n(a) Find the remainder when \(f(x)\) is divided by \(x^{2}-4x+3\).\\n(b) Determine the value of \(f(0)\).

Answer Options

A. Remainder = 3x-2; f(0)=9
B. Remainder = 2x+5; f(0)=13
Correct Answer C. Remainder = 3x+1; f(0)=13
D. Remainder = x+7; f(0)=15
Correct Answer
C
Correct Option:
Remainder = 3x+1; f(0)=13

About This Question

This is Neco 2021 Further Mathematics Question 40. It is one of the objective questions from the 2021 Neco Further Mathematics examination.

Difficulty level: Medium .

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