MCQ
The zeros of the polynomial $\text{p(x)} = 3\text{x}^2 - 1$ are.
- A$\frac{1}{\sqrt{3}}\text{ and }\sqrt{3}$
- B$\frac{-1}{\sqrt{3}}\text{ and }\sqrt{3}$
- ✓$\frac{1}{\sqrt{3}}\text{ and }\frac{-1}{\sqrt{3}}$
- D$\frac{1}{{3}}\text{ and}\ {3}$
✓
Answer
Correct option: C.
$\frac{1}{\sqrt{3}}\text{ and }\frac{-1}{\sqrt{3}}$
Let: $\text{p(x)} = 3\text{x}^2 - 1$
To find the zeroes of $p(x),$
We have:
$\text{p(x)}=0\Rightarrow3\text{x}^2-1=0$
$\Rightarrow3\text{x}^2=1$
$\Rightarrow\text{x}^2=\frac{1}{3}$
$\Rightarrow\text{x}=\pm\frac{1}{\sqrt{3}}$
$\Rightarrow\text{x}=\frac{1}{\sqrt{3}}\text{ and }\text{x}=\frac{-1}{\sqrt{3}}$
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