Question 854659
I was taught that you take the factors of your last number.  So possible rational numbers would be +/-1, +/-5, +/-25.

However, you have 4x^4 meaning that you are going to have 4 rational zeros so you may have one that has a multiplicity of 2.

You would use synthetic division to figure out what your actual zeros are.  Make sure that you add a 0 for x^3 since you don't have one.

Let me know if you need more help than this.