Question

The number of polynomials having zeroes −2 and 5 is

(a) 1 (b) 2 (c) 3 (d) more than 3

Answer 1

Polynomials having zeros −2 and 5 will be of the form
$p\left(x\right)=a{\left(x+2\right)}^n{\left(x-5\right)}^m$
Here, n and m can take any value from 1, 2, 3,...
Thus, the number of polynomials will be more than 3.
Hence, the correct answer is option D.