Find the quadratic polynomial if its zeroes are 0, √5.

A quadratic polynomial can be written using the sum and product of its zeroes as:

x² – (α + β)x + αβ; Where α and β are the roots of the polynomial.

Here, α = 0 and β = √5

So, the polynomial will be: x² – (0 + √5)x + 0(√5)

i.e. p(x) = x² – √5x