Which of following expressions are polynomials in one variable and which are not ? State reasons for

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2. Polynomials

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Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer. $3 \sqrt{t}+t \sqrt{2}$

Option A

Option B

Option C

Option D

Solution

$3 \sqrt{t}+t \sqrt{2}$

$\Rightarrow 3 t^{1 / 2}+\sqrt{2} \cdot t$

$\because $ $\frac{1}{2}$ is not a whole number,

$\therefore $ $3 t^{1 / 2}+\sqrt{2} \cdot t,$ i.e. $3 \sqrt{t}+t \cdot \sqrt{2}$ is not a polynomial.

Standard 9

Mathematics

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