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Question

If p and q are the roots of 2x2+3x+4 = 0, them p2q+q2p.
  1. -3
  2. -4
  3. 8
  4. 16


Solution

The correct option is A -3
For a quadratic equation given by ax2+bx+c = 0,
the sum of the roots = -ba,
the product of the roots = ca.

Given, quadratic equation:  2x2+3x+4 = 0,
here, a = 2, b = 3, c = 4

Here, p+q = sum of the roots =  -ba =  -32
Here, pq = product of the roots =  ca42 = 2.

p2q+q2p = pq(p+q) = -32×2 = -3.
 

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