Multiple choice

Find the product of roots if the quadratic equation $ax^2+bx+c=0$ has exactly one non-zero root.

  1. $0$
  2. $2$

  3. Data insufficient

  4. None of these
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A Correct answer
Explanation

If a quadratic has exactly one non-zero root, the other root must be 0. The product of roots for ax^2 + bx + c = 0 is c/a. If one root is 0, the product is 0.

AI explanation

Using the relationship between roots and coefficients, the product of the roots of the quadratic equation ax^2 + bx + c = 0 is given by c divided by a. Since the equation has exactly one non-zero root, its other root must be zero. Multiplying any non-zero number by zero yields a product of zero, which is the final result.

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