Polynomials
Grade Class 10
Question:
<p><strong>Assertion:</strong> Zeroes of f(x) = x<sup>2</sup> - 4x - 5 are 5, -1<br />
<strong>Reason:</strong> The polynomial whose zeroes are <span class="math-tex">\(2+\sqrt{3}\)</span>, <span class="math-tex">\(2-\sqrt{3}\)</span> is x<sup>2</sup> - 4x + 7.</p>
<p style="display:inline">Assertion and reason both are correct statements and reason is correct explanation for assertion.</p>
<p style="display:inline">Assertion and reason both are correct statements but reason is not correct explanation for assertion.</p>
<p style="display:inline">Assertion is correct statement but reason is wrong statement.</p>
<p style="display:inline">Assertion is wrong statement but reason is correct statement.</p>
Step-by-Step Solution
Key Concept: The relationship between the zeroes of a quadratic polynomial and its coefficients is defined by the construction $x^2 - (sum)x + (product) = 0$.
<p>Assertion is correct statement but reason is wrong statement.</p>
Correct Answer: C