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Product Rule & Integration by Parts

Review question

If this cubic has two equal roots, what can $p$ be?
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Ref: R5196

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Question

A polynomial \(f(x)\) has a factor \((x-a)^2\). Show that \((x-a)\) is a factor of \(f'(x)\).

The equation \(x^3 - 4x^2 - 3x + p = 0\) has two equal roots; find the two possible values of \(p\).