Polynomials
Grade Class 10
Question:
<p>If <span class="math-tex">\(\alpha\)</span> and <span class="math-tex">\(\beta\)</span> are the zeroes of the polynomial <span class="math-tex">\(p(x)=2 x^{2}+6 x-6\)</span>, then the value of <span class="math-tex">\(\frac{1}{\alpha}+\frac{1}{\beta}\)</span> is equal to:</p>
<p style="display:inline">-3</p>
<p style="display:inline">-1</p>
<p style="display:inline">1</p>
<p style="display:inline">3</p>
Step-by-Step Solution
Key Concept: Express the sum of reciprocals as the ratio of the sum of zeros to the product of zeros using Vieta's formulas.
<p>1</p>
Correct Answer: C