Polynomials
Grade Class 10
Question:
<p>The zeroes of the quadratic polynomial x<sup>2</sup> + 99x + 127 are</p>
<p style="display:inline">both positive</p>
<p style="display:inline">both equal</p>
<p style="display:inline">one positive and one negative</p>
<p style="display:inline">both negative</p>
Step-by-Step Solution
Key Concept: Analyze the signs of the zeroes using the sum (-b/a) and product (c/a) of roots once the discriminant confirms the roots are real.
<p>As the Discriminant of the given quadratic polynomial x<sup>2</sup> + 99x + 127 is more than Zero.<br />
<span class="math-tex">$\therefore $</span> Both the zeros are negative.</p>
Correct Answer: D