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AP EAMCET2004MathematicsQuadratic Equation

If f(x) is a polynomial of degree n with rational coefficients and 1+2 i, 2- 3 and 5 are three roots of f(x)=0 , then the least value of n is

Options

  1. A5
  2. B4
  3. C3
  4. D6

Correct answer

A. 5

Step-by-step solution

Since, (1+2 i),(2- 3 ) and 5 are the some roots of polynomial f(x) of degree n . As we know this conjugate are also the roots of the polynomial is, (1-2 i),(2+ 3 ) The least value of n is 5 .

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