Assertion : $x^{2} + 4 x + 5$ has two zeroes. Reason: A quadratic polynomial can have at the most two zeroes.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
Assertion
Consider the given polynomial
$x^{2} + 4 x + 5$
Because the degree of the polynomial is 2. It is a quadratic polynomial.
We know that the quadratic polynomial has at the most two zeroes..
$∴ x^{2} + 4 x + 5$ has two zeroes.
$∴$ Assertion is true.
Reason
Clearly, Reason is true.
Since both the Assertion and Reason are true and Reason is a correct explanation of Assertion.
Therefore, the correct answer is $A$ .

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Assertion :x2+4x+5 has two zeroes. Reason: A quadratic polynomial can have at the most two zeroes.

Assertion : $x^{2} + 4 x + 5$ has two zeroes. Reason: A quadratic polynomial can have at the most two zeroes.