Let – 2 and 5 are the zeroes of the polynomials of the form p(x) = ax² + bx + c.

The equation of a quadratic polynomial is given by x² – (sum of the zeroes) x + (product of the zeroes) where,

Sum of the zeroes = – 2 + 5 = 3

product of the zeroes = (– 2)5 = – 10

∴ The equation is x² – 3x – 10

We know, the zeroes do not change if the polynomial is divided or multiplied by a constant

Therefore, kx² – 3kx – 10k will also have – 2 and 5 as their zeroes.

As, k can take any real value, there can be many polynomials having – 2 and 5 as their zeroes.