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Multiple choice

The roots of the equation $\displaystyle x^{3}+14x^{2}-84x-216=0$ are in

  1. AP

  2. GP

  3. HP

  4. none of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For the equation x^3 + 14x^2 - 84x - 216 = 0, testing for GP roots (a/r, a, ar) shows that the roots are 6, -2, -18. These form a GP with common ratio -3.

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