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Question

# Assertion: The expression 3x4−4x32+x2 is not a polynomial because the term −4x32 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?

A

Both Assertion and Reason are true and the reason is the correct explanation for the assertion.

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B

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

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C

Assertion is true and Reason is false.

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D

Assertion is false and 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 for the assertion. Expression 3x4−4x32+x2 is not a polynomial because the power in the term 4x32 is x32 where 32 is not a whole number. The highest exponent in various terms of a polynomial 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 3x4−4x32+x2 is not a polynomial.

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