Question

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.

• A. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A)
• B. Assertion (A) is true, but Reason (R) is false.
• C. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
• D. Assertion (A) is false, but Reason (R) is true.

Answer 1

The correct option is C Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).

We know that for an algebraic expression to be a polynomial, the value of the exponents of all the variables should be a whole number. Hence 3x⁴ – 4x^3/2 + x² = 2 is not a polynomial.
The highest power of the variable is degree of a polynomial.
Therefore both Assertion (A) and Reason (R) are true.
However the Reason (R) does not explan the Assertion (A)