Question

How many polynomials are there having 4 and −2 as zeros?

(a) One
(b) Two
(c) Three
(d) More than three

Answer 1

$$\begin{gathered} \left(\text{d}\right)\mathrm{More}\mathrm{than}\mathrm{three} \\ \mathrm{An}\mathrm{i}\text{nfinite number of polynomials can be formed having zeroes 4 and -2, which will be in the form}n(x-4)(x+2)\text{or}n(x^2-2x-8),\text{for any arbitrary real number}n. \end{gathered}$$