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Nov 2016 p33 q4
1419
The polynomial \(4x^4 + ax^2 + 11x + b\), where \(a\) and \(b\) are constants, is denoted by \(p(x)\). It is given that \(p(x)\) is divisible by \(x^2 - x + 2\).
- Find the values of \(a\) and \(b\).
- When \(a\) and \(b\) have these values, find the real roots of the equation \(p(x) = 0\).
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