write a polynomial which have i) no zeroes ii) zeroes
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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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i)A simple example of a quadratic polynomial with no real zeroes is x^2 + 1
ii)We have seen that a quadratic polynomial is of the form: p(x):ax2+bx+c,a≠0
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