Question

root 2 x square - 3 x + 1 is a polynomial or not
$\sqrt{2 {x }^{2} } - 3x + 1$
is a polynomial are not​

Answer 1

$Given \: \: Question \: \: Is \: \\ \\ p(x) = \sqrt{2x {}^{2} } - 3x + 1 \\ \\ the \: \: given \: \: equation \: is \: \: \: a \: polynomial \: \: \\ becoz \: \: this \: \: equation \: is \: \: in accordance \: \\ with \: the \: definition \: of \: polynomial \: \\ \\ p(x) = \sqrt{2} \times \sqrt{x {}^{2} } - 3x + 1 \\ \\ p(x) = \sqrt{2} x - 3x + 1 \\ \\ all \: the \: powers \: of \: x \: are \: \: whole \: numbers \: \: therefore \\ the \: given \: equation \: is \: a \: polynomial \:$

Answer 2

$x^{2} + \sqrt{2} + 3$ is not a polynomial as:

Polynomial do not contain fraction or negation powers

as in this $\sqrt{2}$ = $2^{1/2}$ so it not

Hope it was helpful !!!