Question

Write two different quadratic polynamials which have no zeroes ?

Answer 1

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}. An example of a polynomial with one real root is x^2 which has only 0 as a root. And an example of a polynomial with two real roots is x^2 - 1, which has roots \pm 1.

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