MCQ
Which of the following expression is a polynomial$?$
- A$\sqrt{\text{x}}-1$
- B$\frac{\text{x}-1}{\text{x}+1}$
- C$\text{x}^2-\frac{2}{\text{x}^2}+5$
- ✓$\text{x}^2+\frac{2\text{x}^\frac{3}{2}}{\sqrt{\text{x}}}+6$
✓
Answer
Correct option: D.
$\text{x}^2+\frac{2\text{x}^\frac{3}{2}}{\sqrt{\text{x}}}+6$
A polynomial is an algebraic expression in which the variables involved have only non-negative integrals powers.
Option $(a), (b)$ and $(c)$ have negative and non-integral powers,
So they are not polynomials.
In option $(d),$
$\text{x}^2+\frac{2\text{x}^\frac{3}{2}}{\sqrt{\text{x}}}+6=\text{x}^2+2\text{x}^{\frac{3}{2}-\frac{1}{2}}+6$
$x^2 + 2x^1 + 6$ Which is a polynomial.
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