0606 P22 - Jun 2020 - Q4 - 5 marks
8143
The three roots of \(p(x)=0\), where
\(p(x)=2x^3+ax^2+bx+c,\)
are \(x=\frac12\), \(x=n\) and \(x=-n\), where \(a\), \(b\), \(c\) and \(n\) are integers. The \(y\)-intercept of the graph of \(y=p(x)\) is \(4\).
Find \(p(x)\), simplifying the coefficients.
