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AP EAMCET20227 Jul 2022Evening ShiftMathematicsQuadratic EquationActual

If 2,3,6 are the roots of the polynomial f(x)=x^3+a x^2+b x+c , where a, b, c, C . Then, the value of a-c is

Options

  1. A-11
  2. B36
  3. C25
  4. D11

Correct answer

C. 25

Step-by-step solution

array rlrl & & x^3+a x^2+b x+c=(x-2)(x-3)(x-6) & & x^3+a x^2+b x+c & = & x^3-11 x^2+36 x-36 & & a & =-11, b=36, c=-36 & a-c & =-11+36=25 array

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