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COMEDK2012MathematicsQuadratic Equation

If , , are the roots of the equation x³-3 x²+2 x-1=0 , then the value of (1- )(1- )(1- ) is

Options

  1. A1
  2. B2
  3. C-1
  4. D-2

Correct answer

C. -1

Step-by-step solution

We have, x³-3 x²+2 x-1 So, + + =3 + + =2 =1 Now, (1- )(1- )(1- )=1-( + + )+( + + )- =1-3+2-1=-1

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