Question

Show that √2 is a zero of a polynomial x2-2√2+2

Answer 1

Did you mean 'x²-2√2x+2'?

Substitute $x=\sqrt{2}$.

$2-2\times 2+2$

$=2-4+2$

$=0$ (TRUE)

∴$\sqrt{2}$ is a zero of the given polynomial.