\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Find the multiplicity of \(1\) as a root of \(P = X^4 - 4 X^3 + 6 X^2 - 4 X + 1\) via direct factorization. (Same example revisited in the derivative-test subsection below.)
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