Assertion :The expression $3 x^{4} - 4 x^{\frac{3}{2}} + x^{2} = 2$ is not a polynomial because the term $- 4 x^{\frac{3}{2}}$ contains a rational power of $x$ . Reason: The highest exponent in various terms of an algebraic expression in one variable is called its degree.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
both assertion and reason are true but reason is not a correct explanation for assertion

it is because if there are rational powers in an equation then it does not become a polynomial

option B

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Similar questions

Q. Assertion: The expression

3 x^{4} - 4 x^{\frac{3}{2}} + x^{2}

is not a polynomial because the term

- 4 x^{\frac{3}{2}}

contains a rational power of x.
Reason: The highest exponent in various terms of an algebraic expression in one variable is called its degree.
Which of the following is true?

Assertion: The expression $3 x^{4} - 4 x^{\frac{3}{2}} + x^{2}$ is not a polynomial because the term $- 4 x^{\frac{3}{2}}$ contains a rational power of x.

Reason: The highest exponent(of the variable) in various terms of a polynomial in one variable is called its degree.

Which of the following is true?