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 \((2-a)(2-b)(2-c)\).
by
Mehul Arora