Following expressions are polynomials? Justify your answer: 1-√{5 x}

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2. Polynomials

easy

The following expressions are polynomials? Justify your answer:

$1-\sqrt{5 x}$

Option A

Option B

Option C

Option D

Solution

$1-\sqrt{5} x=1-\sqrt{5} x^{\frac{1}{2}}$

Here, the exponent of the second term, i.e., $x^{\frac{1}{2}}, \frac{1}{2},$ which is not a whole number.

Hence, the given algebraic expression is not a polynomial.

Standard 9

Mathematics

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