# What Is This ?

Algebra Level pending

Let $$P (x)$$ be a polynomial of degree $$2$$ such that

$$\begin{cases} P (0) = cos^3 10^\circ \\ P (1) = cos10^\circ sin^2 10^\circ\\ P (2) = 0. \end{cases}$$

$$\displaystyle P (3) =$$ $$\displaystyle \frac{\sqrt{a} }{b}$$

Find $$a^2+b^2$$

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