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0606 P23 - Nov 2017 - Q11 - 8 marks
8682

The cubic equation

\(x^3+ax^2+bx-36=0\)

has a repeated positive integer root.

(i) If the repeated root is \(x=3\), find the other positive root and the value of \(a\) and of \(b\).

(ii) There are other possible values of \(a\) and \(b\) for which the cubic equation has a repeated positive integer root. In each case state all three integer roots of the equation.

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