Hello everyone! I have got this task: Find multiple roots (repeated roots) of a polynomial \(\displaystyle t^3 - (1-2a)t^2-(a^2-2a)t+a^2\) depending on the real parameter a. My idea was to factorize the polynomial using the Euclidean algorithm, but I was unable to do it , because it's becoming larger and larger every single step and I don't know what to do..Could anyone help me or give me a hint?