To show that the zero of the function is the square of the other, we factorize as follows: 8x^2-30x+27 factoring the above we get: 8x^2-12x-18x+27 factoring we obtain: 4x(2x-3)-9(2x-3) =(2x-3)(4x-9) from above roots we see that: the zeros are: x=3/2 and x=9/4 the second zero is the square of the first