Question

show that the root 2 is a zeros of the polynomial x square -2 root 2x+2​

Answer 1

Step-by-step explanation:

heres the answer buddy.. let me know if there are errors

Answer 2

$\sqrt{2}$ is zeros of  $x^2-2\sqrt{2}x+2$

Hence proved

Step-by-step explanation:

The polynomial, $x^2-2\sqrt{2}x+2$

$p(x)=x^2-2\sqrt{2}x+2$

If a is root of any polynomial the p(a)=0

To check: $\sqrt{2}$

$p(\sqrt{2})=(\sqrt{2})^2-2\sqrt{2}(\sqrt{2})+2$

$p(\sqrt{2})=2-2\times 2+2$

$p(\sqrt{2})=4-4$

$p(\sqrt{2})=0$

$\sqrt{2}$ is zeros of  $x^2-2\sqrt{2}x+2$

Hence proved

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