2026 EJC P1 Q2
2026 EJC P1 Q2
Junior College 2
6 marks
Do not use a calculator in answering this question.
It is given that one of the roots of the equation \(px^4-7x^3+8x^2-3x+10=0\), where \(p\in\mathbb{R}\), is \(2-i\). Find the value of \(p\) and the other roots in exact form.[6]
Solution:
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Answer:\(p=2\); other roots \(2+i,\frac{-1\pm i\sqrt{15}}4\)
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