Question

The zero of the polynomial $P\left(x\right)=\surd 5x-5$ is ......

• A. $\surd 5$
• B. $-\surd 5$
• C. $-5$
• D. $4$

Answer 1

The correct option is A $\surd 5$

Given, $p\left(x\right)=\sqrt{5}x-5$.

Here, we find zero of a polynomial when $p\left(x\right)=0$.

Then,

$\sqrt{5}x-5=0$

$⟹$ $\sqrt{5}x=5$

$⟹$ $x=\frac{5}{\sqrt{5}}$

$⟹$ $x=\frac{5}{\sqrt{5}}\times \frac{\sqrt{5}}{\sqrt{5}}$

$⟹$ $x=\frac{5\sqrt{5}}{5}=\sqrt{5}$.

Therefore, option $A$ is correct.