A polynomial is deemed prime or irreducible when it's impossible to break it down into polynomials of a lower degree that have coefficients within the same field. To ascertain whether a polynomial is prime, one must investigate its factors. Should the only factors be 1 and the polynomial itself, then it can be classified as prime.
| Topic | Problem | Solution |
|---|---|---|
| None | Exercise 6. Show that the following polynomials a… | \(A\): Apply Eisenstein's Criterion on \(A=x^{4}-4 x^{3}+6\) with prime \(p=2\): \(2 \nmid 1, 2 | 4… |