Neco 2020 Further Mathematics Question 46
Practice objective / multiple choice question 46 from the 2020 Neco Further Mathematics examination.
A polynomial \(P(x)=x^{4}+p x^{3}+q x^{2}+r x+s\) satisfies the following conditions: (i) when divided by \(x-1\) the remainder is 10; (ii) when divided by \(x+1\) the remainder is \(-6\); (iii) \(x-2\) is a factor of \(P(x)\); and (iv) the coefficient of \(x^{3}\) is twice the coefficient of \(x\). Find the value of \(p+q+r+s\).
Answer Options
About This Question
This is Neco 2020 Further Mathematics Question 46. It is one of the objective questions from the 2020 Neco Further Mathematics examination.
Difficulty level: Medium .
Master the Exam!
You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.