Question

The number of polynomials having zeros as $-2$ and $5$ is

• A. $1$
• B. $2$
• C. $3$
• D. more than $3$

Answer 1

The correct option is D more than $3$

The smallest polynomial having zeroes -2 and 5 is

$(x+2)(x-5)=x^2-3x-10$ and other possibilities are
(i)$(x+2{)}^2(x-5)$
(ii)$(x+2)(x-5{)}^2$
(iii)$(x+2{)}^2(x-5{)}^2$
and so on.
Therefore, there are more than 3 polynomial.
Hence, Option D is correct.