Difficult
The hardest thing for me in this section was just the idea of the functions that are induced, creating polynomial functions. I can't really tell the difference between polynomials and polynomial functions. Also, how to know if the polynomials are the same function even if they induce the different polynomials. How do you test for this? What number do you have to put into the function to decide if two functions are the same? I am still getting confused by the different meanings of x as well and how to know what x represents in the function or polynomial.
Connections:
This section connects the idea of irreducibility and roots, or factoring. I have been factoring polynomials for a long time, so this part is easier for me. But deciding when a polynomial is irreducible is still difficult for me especially when dealing with the real numbers or modular arithmetic. But, I am fairly comfortable factoring polynomials and finding roots in the integers, so now I just need to think about doing this in different classes of numbers.
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