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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 \( x - 2 \).
Solution: By the Remainder Theorem, the remainder when a polynomial \( f(x) \) is divided by \( x - c \) is \( f(c) \). Here, \( f(x) = x^3 - 4x + 1 \) and \( c = 2 \).
Calculate \( f(2) \):

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