If 1 is a multiple root of order 3 for the equation $x^4-2 x^3+2 x-1=0$, then the other root is

If 1 is a multiple root of order 3 for the equation $x^4-2 x^3+2 x-1=0$, then the other root is
  1. $0$
  2. $-1$
  3. $1$
  4. $2$

Solution

Given that, $x^4-2 x^3+2 x-1=0$ Put $x=-1$, $\Rightarrow \quad 1+2-2-1=0$ Therefore, -1 is also the root of the equation.

Asked in: AP EAMCET 2001

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