Factor out the greatest common factor from each polynomial

9y^2 -18y + 8

You're done. 9, 18, and 8 have no common factor other than 1.

(9 = 3^2, 18 = 2*3^2, 8 = 2^3)

To factor out the greatest common factor (GCF) from a polynomial, we need to identify the largest common factor that can be divided evenly into each term of the polynomial.

In this case, the GCF of the polynomial 9y^2 - 18y + 8 is 1. However, since the GCF is 1, we cannot factor out any common factors from the polynomial.

Therefore, the factored form of the polynomial is simply 9y^2 -18y + 8.