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NEST2025MathematicsQuadratic Equation

Let f(x)=x^3-a x^2+b x+c , where a, b, c are nonzero integers. Suppose that f(a)=0 . Then, all the roots of f are integers if and only if

Options

  1. Ac a is the square of an integer.
  2. B- c a is the square of an integer.
  3. Cc is the square of an integer.
  4. Db=3 n^2 , for some integer n .

Correct answer

A. c a is the square of an integer.

Step-by-step solution

No Solution

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