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Algebra Level 5

P(x)=x4+7x3+2x9\large P(x)=x^4+7x^3+2x-9

If a1,a2,a3,a4a_1,a_2,a_3,a_4 are roots of P(x)=0P(x)=0 , find the sum of coefficients of a least degree monic polynomial whose roots are a1a2a3,a1a2a4,a1a3a4,a2a3a4a_1a_2a_3,a_1a_2a_4,a_1a_3a_4,a_2a_3a_4.

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