Which of the following options is correct for the given assertion and reason?

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 true, and the reason is the correct explanation of assertion.

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Both assertion and reason are true, but the reason is not the correct explanation of assertion.

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The assertion is true, but the reason is false.

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The assertion is false, but the reason is true

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Solution

The correct option is B Both assertion and reason are true, but the reason is not the correct explanation of assertion.

Both assertion and reason are true, but the reason is not the correct explanation of assertion.

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Similar questions

Q. 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.

Q. Directions: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R).
Mark the correct choice as:
Assertion (A): The expression 3x⁴ – 4x^3/2 + x² = 2 is not a polynomial because the term – 4x^3/2 contains a rational power of x.
Reason (R): The highest exponent in various terms of an algebraic expression in one variable is called its degree.

Q. An assertion and its reason are given, which option is correct for this.
Assertion: The expression

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

is not a polynomial because the exponent of x is not a whole number.
Reason: The highest exponent in various terms of an algebraic expression in one variable is called its degree.

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?

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?

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The correct option is B Both assertion and reason are true, but the reason is not the correct explanation of assertion. Both assertion and reason are true, but the reason is not the correct explanation of assertion.

The correct option is B Both assertion and reason are true, but the reason is not the correct explanation of assertion.

Both assertion and reason are true, but the reason is not the correct explanation of assertion.