Thank you for the opportunity to help you with your question!

h(x) = x^3 - 5x^2 + 5x -1 ; 1 is a zero

express h(x) as a linear product of two factors?

You cannot express a cubic polynomial as a linear function and there is no such thing as a linear product of factors.

However, 1 is indeed a zero of h(x) (I checked) and this means that (x-1) is a factor of h(x). So you can divide h(x) by (x-1) and get a polynomial with no remainder.