what is 15x^3-22x^2+8x

It is a formula/expression. What do you want to do with it? Find factors? It helps to make you question more specific.

15x^3-22x^2+8x = x(15x^2 - 22x + 8)

Find what factors of 8 and 15 will combine to give you 22.

x(5x+4)(3x+2)