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.

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Solution

Ans. Option B

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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. 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?

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An assertion and its reason are given, which option is correct for this. Assertion: The expression 3x4–4x32+x2=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.

Ans. Option B