Algebra Level 5

$\large P(x)=x^4+7x^3+2x-9$

If $$a_1,a_2,a_3,a_4$$ are roots of $$P(x)=0$$ , find the sum of coefficients of a least degree monic polynomial whose roots are $$a_1a_2a_3,a_1a_2a_4,a_1a_3a_4,a_2a_3a_4$$.

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