Part 7

Algebra Level 4

Given two polynomials: \[P(x)=4x^3-2x^2-15x+9 \\ Q(x)=12x^3+6x^2-7x+1\] Let \(a\) be the biggest root of \(P(x)\) and b be the biggest root of \(Q(x)\) Find the value of \(a^2+3b^2+2012\).

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