Question

The number of polynomials having zeroes as $2$ and $5$ is:

• A. $1$
• B. $2$
• C. $3$
• D. $>3$

Answer 1

The correct option is D $>3$

Polynomial having zereos as $2$ and $5$ is of the form:

$P\left(x\right)=a(x-2{)}^n(x-5{)}^m$,

where $n$ and $m$ can take any value from $1,2,3,.....$.

Therefore, there can be infinite polynomials having zereos as $2$ and $5$.

Hence, the number of polynomials is $>3$.