# Extracting Polynomial Parameters

Algebra Level 5

Let $$f(x) = 2 x^3 + 5 x^2 - 7 x + 1$$ and $$g(x) = f(x^2 + 5x + 1)$$.

If $$\{ s_i \}$$ are the roots of $$g(x)$$, find the value of the below expression.

$\sum_i {s_i}^2$

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