MCQ
Which of the following expressions is a polynomial?
- A$\frac{\text{x}-1}{\text{x}+1}$
- B$\sqrt{\text{x}}-1$
- ✓$\text{x}^2+\frac{2\text{x}^{\frac{3}{2}}}{\sqrt{\text{x}}}+6$
- D$\text{x}^2-\frac{2}{\text{x}^2}+5$
✓
Answer
Correct option: C.
$\text{x}^2+\frac{2\text{x}^{\frac{3}{2}}}{\sqrt{\text{x}}}+6$
We have: $\text{x}^2+\frac{2\text{x}^{\frac{3}{2}}}{\sqrt{\text{x}}}+6=\text{x}^2+2\text{x}^{\frac{3}{2}}\text{x}^{\frac{-1}{2}}+6$
$=\text{x}^2+2\text{x}+6$
It is a polynomial because it has only non$-$negative integral powers of $x$
$=\text{x}^2+2\text{x}+6$
It is a polynomial because it has only non$-$negative integral powers of $x$
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