Question

Assertion: The expression $3x^4-4x^{\frac{3}{2}}+x^2$ is not a polynomial because the term $-4x^{\frac{3}{2}}$ 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?

• A. Both Assertion and Reason are true and the reason is the correct explanation for the assertion.
• B. Both Assertion and Reason are true, but the reason is not the correct explanation for the assertion.
• C. Assertion is true and Reason is false
• D. Assertion is false and Reason is true

Answer 1

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

Expression $3x^4-4x^{\frac{3}{2}}+x^2$ is not a polynomial because the power in the term $4x^{\frac{3}{2}}$ is $\frac{3}{2}$ which is not a whole number.

The highest exponent in various terms of an algebraic expression in one variable is called its degree.

As we can see, both the assertion and reason are true. But the statements are independent of each other. The statement mentioned in "Reason" does not mention the reason why the expression $3x^4-4x^{\frac{3}{2}}+x^2$ is not a polynomial.