Assertion: The constant polynomial 0 is called zero polynomial.Reason: √x + 3 is a polynomial.

To evaluate the assertion and reason provided, we need to analyze both statements:

1. Assertion: The constant polynomial 0 is called the zero polynomial.
2. Reason: $\sqrt{x} + 3$ is a polynomial.

Evaluation of the Assertion

The constant polynomial 0 is indeed termed the zero polynomial. This polynomial is unique because it does not have any terms and is equal to zero for all values of $x$. Hence, the assertion is true.

Evaluation of the Reason

For an expression to be classified as a polynomial, it must meet specific criteria:

• It should consist of variables raised to non-negative integer powers.
• The coefficients of these variables can be any real numbers.

The expression $\sqrt{x} + 3$ contains $\sqrt{x}$, which can be rewritten as $x^{1/2}$. Since $1/2$ is not a non-negative integer, $\sqrt{x} + 3$ does not satisfy the definition of a polynomial. Therefore, the reason is false.

Conclusion

Since the assertion is true and the reason is false, the correct conclusion is that the assertion is true, but the reason is not.

Final Answer

The assertion is true: the constant polynomial 0 is called the zero polynomial. The reason is false: $\sqrt{x} + 3$ is not a polynomial.