Polynomials
Grade Class 10
Question:
<p>If one zero of the polynomial (3x<sup>2</sup> + 8x + k) is the reciprocal of the other, then value of k is</p>
<p style="display:inline"><span class="math-tex">\(-\frac{1}{3}\)</span></p>
<p style="display:inline">3</p>
<p style="display:inline">-3</p>
<p style="display:inline"><span class="math-tex">\(\frac{1}{3}\)</span></p>
Step-by-Step Solution
Key Concept: When one zero is the reciprocal of the other, the product of the zeros is 1, which implies that the constant term must equal the leading coefficient.
<p><span class="math-tex">$\alpha \beta=1 \Rightarrow \frac{k}{3}=1 \Rightarrow k=3$</span></p>
Correct Answer: B