If $3 x^{a} + 2 x^{4} + 3 x^{3} + x^{2} + 10$ is a polynomial, then which of the following can be the value of $a$ ?

- 2

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\frac{4}{3}

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2

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0

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Solution

The correct option is D $0$
Given polynomial is $3 x^{a} + 2 x^{4} + 3 x^{3} + x^{2} + 10$ .
For this to be a polynomial, the powers of the variable $x$ must be a whole number.
$\Rightarrow \frac{4}{3}, - 2$ cannot be the values of $a$ .

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