# Cubic + Quadratic = Choked up with less

Algebra Level pending

Suppose a cubical polynomial $$x^{3} + p x^{2} + qx + 72$$ such that it is divisible by $$x^{2} + ax+ b$$ and $$x^{2} + bx+ a$$ . Here a is not equal to b. And $$a,b,q,p$$ are constants . Find sum of squares of the roots of cubic polynomial + $$a + b + ab + 72$$

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