Question

The number of polynomials with zeros as 6 and 4 are:

[1 mark]

• A. One
• B. Two
• C. Three
• D. Infinite

Answer 1

The correct option is D Infinite

Required polynomial =
$k(x^2-\text{(Sum of roots)x + Product of roots})$ where $k$ is a real number.

Required polynomial = $k(x^2-(6+4)x+64)$

Since $k$ can take an infinite number of values, the correct answer is option (d).