# 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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