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AP EAMCET202021 Sep 2020Morning ShiftMathematicsQuadratic EquationActual

If ( , , ) are the roots of (f(x)=x^3-9 x^2+26 x ) -24, then ( 1 , 1 , 1 ) are the roots of

Options

  1. A(24 x^3+26 x^2+9 x-1 )
  2. B(24 x^3-26 x^2+9 x-1 )
  3. C(24 x^3+26 x^2-9 x-1 )
  4. D(24 x^3-26 x^2+9 x+1 )

Correct answer

B. (24 x^3-26 x^2+9 x-1 )

Step-by-step solution

It is given that roots of (f(x)=x^3-9 x^2+26 x-24 ) are ( , , ), then the equation, where roots are ( 1 , 1 , 1 ). We can obtain by dividing (f(x) ) by (x^3 ), so required equation is (24 x^3-26 x^2+9 x-1 ). Hence, option (b) is correct.

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