1. The most difficult part of the reading is how to determine how to find a root for really hard polynomials and/or mods. The roots are the biggest part of this section and the theorems make sense, but applying how to figure out if something is a root for more difficult problems is the hardest part of this section.
2. The most interesting part of this reading is how something as simple as roots, which we learned about in middle school while taking algebra, are being used and applied in this advanced math course. This connection of math principles fascinates me that simple math things can still be used in more advanced courses.
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