A zero or root (archaic) of a function is a value which makes it zero. ... For example, z2+1 has no real zeros (because its two zeros are not real numbers). x2−2 has no rational zeros (its two zeros are irrational numbers).
What degree polynomial has no real zeros?
For non-zero complex polynomials, this turns out to be true in general and follows directly from the fundamental theorem of algebra. Indeed, a polynomial of degree 0 takes on the form c0 , where c0≠0 c 0 ≠ 0 , and thus has no zeros.
Can a polynomial have no real zeros?
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.
