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AP EAMCET201822 Apr 2018Evening ShiftMathematicsQuadratic EquationActual

The minimum degree of a polynomial equation with rational coefficients having 3 + 27 , 2 +5 i as two of its roots is

Options

  1. A8
  2. B6
  3. C4
  4. D2

Correct answer

B. 6

Step-by-step solution

The polynomial equation with rational coefficients having 3 + 27 , 2 +5 i as two roots. Then, other roots are aligned & 3 - 27 and 2 -5 i & - 3 + 27 and - 3 - 27 aligned Therefore, number of roots are 6 and the minimum degree of a polynomial equation having 6 distinct roots is 6 .

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