0606 P23 - Jun 2022 - Q6 - 8 marks
7840
The polynomial \(p(x)=6x^3+ax^2-52x+b\) is exactly divisible by \(2x-3\). It is also given that \(p'(1)=4\).
(a) Find the values of \(a\) and \(b\).
(b) Hence factorise \(p(x)\) fully.
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