Recent content by Thetheorist

Sorry if I was unclear, but my question is not about finding the roots for that specific function. My question is, can you look at a polynomial in standard form and determine right away that it will have rational roots? As of right now, I go through trial and error of subbing in whole numbers...

I would like to know if it is possible to determine if a polynomial has rational zeroes, or, in other words, is unfactorable using whole numbers. For example 4x^3+2x^2-4x+25. I know you can use trial and error to sub in the factors of 25, and I understand the rational root theorem. However, I...