Polynomials all around.

Algebra Level 3

Let there be a polynomial \(p(x)= {x}^{3}-{3x}^{2}+4x-1\) such that \(p(a)=p(b)=p(c)=0\) and \(a \ne b \ne c\).

Find the value of \((2-a)(2-b)(2-c)\).

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