Why x^4+3x^2+2sqrt2 does not intersect at the x axis?

[KFS]

Thank you,

[Prometheus]

Do you know why x^2 + 1 doesn't intersect the x axis?

[mathematic]

The expression has a positive constant while the terms dependent on x are functions of \(x^2\), so they are non-negative, thus the entire expression is always positive as a function of x.

Edited October 5, 2018 by mathematic
typo + latex

[KFS]

27 minutes ago, mathematic said:

The expression has a positive constant while the terms dependent on x are functions of x2 , so they are non-negative, thus the entire expression is always positive as a function of x.

Thank, mathematic.