Question

The polynomial $x^2+9$ has no real zero

(Type $1$ if true and $0$ if false)

Answer 1

A polynomial has no real zeros when its discriminant $D$ is less than zero

Here, $x^2+9$

$D=b^2-4ac$$=0-4\times 9$

$=-36$

$<0$

The polynomial $x^2+9$ has no real zeros and the answer is thus 1.