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Manipal MET2013MathematicsQuadratic Equation

If the sum of two of the roots of x^3+p x^2+q x+r=0 is zero, then p q=

Options

  1. A-r
  2. B2 r
  3. C-2 r
  4. Dr

Correct answer

D. r

Step-by-step solution

Given that, + =0 aligned & & + + & =-p & & & =-p aligned Substituting =-p in the given equation, array cc & -p^3+p^3-p q+r=0 & p q=r . array

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