does there exist a quadratic polynomial having no real zero
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does there exist a quadratic polynomial having no real zero
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Answer:
A simple example of a quadratic polynomial with no real zeroes is x^2 + 1 which has roots \pm i where i represents \sqrt{-1}. ... When this is negative, there are no real roots. When it is zero there is one real root and when it is positive there are two real roots.