Polynomials
Grade Class 10
Question:
<p>A quadratic polynomial whose zeros are 5 and -3, is</p>
<p style="display:inline">x<sup>2</sup> + 2x -15</p>
<p style="display:inline">x<sup>2</sup> + 2x +15</p>
<p style="display:inline">x<sup>2</sup> - 2x -15</p>
<p style="display:inline">x<sup>2</sup> - 2x + 15</p>
Step-by-Step Solution
Key Concept: A quadratic polynomial with zeros α and β is formulated as x² - (α + β)x + αβ.
<p><span class="math-tex">\(\alpha+\beta=5+(-3)=2, \alpha \beta=5 \times(-3)=-15\)</span><br />
Required polynomial is x<sup>2</sup> - 2x - 15</p>
Correct Answer: C