Question

The number of polynomials having zeroes as –2 and 5 is

Answer 1

The number of polynomials having zeroes as –2 and 5 are infinite

Lets consider a second degree equation,

The zeroes of a quadratic equation ( second degree equation) can be in the form of (a, b).

So, Only one quadratic polynomial has such zeroes.

For cubic polynomials, The zeroes are in the form (a, b, c)

Out of a, b, c ; only two are known, Hence for third, there will be infinite values.

This continues, and you will get infinite many polynomials.

However, If you are asking only for quadratic polynomial, then yes, only one quadratic polynomial has zeroes as - 2 & 5