Multiple choice

The quadratic equation whose roots are $-4$ and $6$ is

  1. $x^2 + 2x + 24 = 0$
  2. $x^2 - 4x + 6 = 0$
  3. $x^2 - 2x - 24 = 0$

  4. None of these
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C Correct answer
Explanation

If roots are -4 and 6, the equation is (x+4)(x-6) = x^2 - 6x + 4x - 24 = x^2 - 2x - 24 = 0.

AI explanation

To form a quadratic equation from its roots, we use the formula x^2 - (sum of roots)x + (product of roots) = 0. For the given roots -4 and 6, the sum is 2 and the product is -24. Substituting these values gives the equation x^2 - 2x - 24 = 0.

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