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Multiple choice

The equation whose roots are $2,3-5$ is ?

  1. $x^3-19x+30=0$
  2. $x^3-19x^2+16x-2=0$
  3. $x^3-4x^2-8x+8=0$
  4. $x^3-2x^2+x-2=0$
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A Correct answer
Explanation

The roots are 2, 3, -5. The equation is (x-2)(x-3)(x+5) = (x^2-5x+6)(x+5) = x^3 + 5x^2 - 5x^2 - 25x + 6x + 30 = x^3 - 19x + 30 = 0.

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