Polynomials all around.

Algebra Level 2

Let there be a polynomial p(x)=x3−3x2+4x−1p(x)= {x}^{3}-{3x}^{2}+4x-1 such that p(a)=p(b)=p(c)=0p(a)=p(b)=p(c)=0 and a≠b≠ca \ne b \ne c.

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

Mehul Arora by Mehul Arora
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