Step 1 :This is a difference of squares problem. The difference of squares formula is a^2 - b^2 = (a - b)(a + b). In this case, a = 5y and b = x.
Step 2 :So, we can factor the polynomial as (5y - x)(5y + x).
Step 3 :The factored form of the polynomial is \(\boxed{-(x - 5y)(x + 5y)}\).