Finding an Unknown using Factor Theorem

Finding an Unknown using Factor Theorem

IP 3

The polynomial \(\mathrm{f}(x)={{x}^{4}}+p{{x}^{2}}+qx-4\), where\(p\) and \(q\) are constants, is divisible by \({{x}^{2}}-x-2\). Find the values of \(p\) and of \(q\).

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Answer:\(p=-1,\ q=-4\)

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