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| Commit | 2684f3814e980921e215f9341ae2e84884aa5038 (patch) | |
|---|---|---|
| Author | 2023-05-31 20:16:50 +0300 | |
| Committer | 2023-05-31 20:16:55 +0300 | |
| Files | f14cc23cb6984c6684920583c61e0bf98550ace5 | |
| uni-projects-2684f3814e980921e215f9341ae2e84884aa5038.tar uni-projects-2684f3814e980921e215f9341ae2e84884aa5038.tar.gz uni-projects-2684f3814e980921e215f9341ae2e84884aa5038.zip | ||
| Parent | 9b53be70d22379fe830a1935691e970836903f80 (diff) | |
[A2/H3/E2] Added Horner table link in comments
2 files changed, 1 insertions, 0 deletions
| -rw-r--r-- | Year 2/Algebra/Homework3/Exercise2.pdf | bin | 29870 -> 29867 bytes | |||
| -rw-r--r-- | Year 2/Algebra/Homework3/Exercise2.tex | 1 |
diff --git a/Year 2/Algebra/Homework3/Exercise2.pdf b/Year 2/Algebra/Homework3/Exercise2.pdf Binary files differindex 4caa673..4617685 100644 --- a/Year 2/Algebra/Homework3/Exercise2.pdf +++ b/Year 2/Algebra/Homework3/Exercise2.pdf diff --git a/Year 2/Algebra/Homework3/Exercise2.tex b/Year 2/Algebra/Homework3/Exercise2.tex index 8d77505..54cd401 100644 --- a/Year 2/Algebra/Homework3/Exercise2.tex +++ b/Year 2/Algebra/Homework3/Exercise2.tex @@ -49,6 +49,7 @@ \section{Решение} $\gcd (1, -1, -2, 1, -7, 10) = \pm 1 \implies f(x)$ е примитивен, то тогава той е разложим над $\mathbb{Q} \iff$ е разложим над $\mathbb{Z}$. Ще разгледаме съществено разлагане $f(x) = f_1(x) f_2(x) \quad f_1, f_2 \in \mathbb{Z}[x]$: +% Thanks https://www.math10.com/forumbg/files/horner_139.gif \begin{align*} & 5 = \deg (f) = \deg (f_1) + \deg (f_2), \quad 0 < \deg (f_1), \quad \deg (f_2) < \deg (f) \quad \text{Б.О.О. } \deg (f_1) \leq \deg(f_2) \\ & \text{Тогава } \deg (f_1) = 1, \deg (f_2) = 4 \text{ или } \deg (f_1) = 2, \deg (f_2) = 3 \text{. Ще разгледаме първата възможност.} \\ |