MCQ
Which of the following is not a polynomial ?
- A$\sqrt3\text{x}^2-2\sqrt3\text{x}+5$
- B$\text{9x}^2-\text{4x}+\sqrt2$
- C$\frac{3}{2}\text{x}^3+\text{6x}^2-\frac{1}{\sqrt2}\text{x}-8$
- ✓$\text{x}+\frac{3}{\text{x}}$
✓
Answer
Correct option: D.
$\text{x}+\frac{3}{\text{x}}$
An expression of the form $p(x)=a_0+a_1 x+a_2 x^2+\ldots+a_n x^n,$
where $a_n \neq 0$, is called a polynomial in $x$ of degree $n$.
Here, $a_0, a_1, a_2, \ldots, a_n$ are real numbers and each power of $x$ is a non $-$ negative integer.
Hence, $\text{x}+\frac{3}{\text{x}}$ is not a polynomial.
where $a_n \neq 0$, is called a polynomial in $x$ of degree $n$.
Here, $a_0, a_1, a_2, \ldots, a_n$ are real numbers and each power of $x$ is a non $-$ negative integer.
Hence, $\text{x}+\frac{3}{\text{x}}$ is not a polynomial.
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