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This equation is in the standard form \(\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} = 1\), where \((h, k)\) is the center. Here, \(h = 0\) and \(k = 0\), so the center of the hyperbola is at the origin.
\(\boxed{(0, 0)}\)
Question: A precision agriculture specialist is modeling crop yield as a function \( y \) dependent on soil quality index \( x \) using the polynomial \( y = x^3 - 4x + 1 \). Find the remainder when this polynomial is divided by \( x - 2 \).

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