Polynomials
Grade Class 10
Question:
<p>For what value of k, the product of zeroes of the polynomial kx<sup>2</sup> - 4x - 7 is 2?</p>
<p style="display:inline"><span class="math-tex">\( \frac{7}{2}\)</span></p>
<p style="display:inline"><span class="math-tex">\( -\frac{2}{7}\)</span></p>
<p style="display:inline"><span class="math-tex">\( -\frac{1}{14}\)</span></p>
<p style="display:inline"><span class="math-tex">\( -\frac{7}{2}\)</span></p>
Step-by-Step Solution
Key Concept: The product of the zeroes of a quadratic polynomial ax^2 + bx + c is the ratio of the constant term to the leading coefficient, calculated as c/a.
<p>Product of zeros = <span class="math-tex">\(\frac ca\)</span><br />
2 = <span class="math-tex">\(\frac{(-7)}{k}\)</span><br />
k = <span class="math-tex">\((\frac {-7}{2})\)</span></p>
Correct Answer: D