\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
The polynomial \(P(x) = 2x^3 + x^2 - 4x + 1\) can be written in the form \((x-1)(ax^2+bx+c)\), where \(a, b,\) and \(c\) are constants. Determine the values of \(a, b,\) and \(c\).
\(a = \)
, \(b = \)
, \(c = \)