9709 P3 - Nov 2007 - Q2
1439
The polynomial \(x^4 + 3x^2 + a\), where \(a\) is a constant, is denoted by \(p(x)\). It is given that \(x^2 + x + 2\) is a factor of \(p(x)\). Find the value of \(a\) and the other quadratic factor of \(p(x)\).
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