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ºÇ¾®Ê¬²òÂÎ

¤ä¤äÆÃ¼ì¤Ê±é»»¤Ç¤Ï¤¢¤ë¤¬, Á°Àá¤Î°ø¿ôʬ²ò¤òÈ¿ÉüŬÍѤ¹¤ë¤³¤È¤Ë¤è¤ê, ¿¹à¼°¤ÎºÇ¾®Ê¬²òÂΤòµá¤á¤ë¤³¤È¤¬¤Ç¤­¤ë. È¡¿ô¤Ï sp() ¤Ç¤¢¤ë.

[103] sp(x^5-2);
[[x+(-#1),2*x+(#0^3*#1^3+#0^4*#1^2+2*#1+2*#0),2*x+(-#0^4*#1^2),2*x
+(-#0^3*#1^3),x+(-#0)],[[(#1),t#1^4+t#0*t#1^3+t#0^2*t#1^2+t#0^3*t#1+t#0^4],
[(#0),t#0^5-2]]]

sp() ¤Ï 1 °ú¿ô¤Ç, ·ë²Ì¤Ï [1 ¼¡°ø»Ò¤Î¥ê¥¹¥È, [[root, algptorat(ÄêµÁ¿¹à¼°)] ¤Î¥ê¥¹¥È] ¤Ê¤ë¥ê¥¹¥È¤Ç¤¢¤ë. Âè 2 Í×ÁǤΠ[root,algptorat(ÄêµÁ¿¹à¼°)] ¤Î¥ê¥¹¥È¤Ï, ±¦¤«¤é½ç¤Ë, ºÇ¾®Ê¬²òÂΤ¬ÆÀ¤é¤ì¤ë¤Þ¤Çź²Ã¤·¤Æ¤¤¤Ã¤¿ root ¤ò¼¨¤¹. ¤½¤ÎÄêµÁ¿¹à¼°¤Ï, ¤½¤ÎľÁ°¤Þ¤Ç¤Î root ¤òź²Ã¤·¤¿Âξå¤Ç´ûÌó¤Ç¤¢¤ë¤³¤È ¤¬Êݾڤµ¤ì¤Æ¤¤¤ë.

·ë²Ì¤ÎÂè 1 Í×ÁǤǤ¢¤ë 1 ¼¡°ø»Ò¤Î¥ê¥¹¥È¤Ï, Âè 2 Í×ÁǤΠroot ¤òÁ´¤Æ ź²Ã¤·¤¿Âξå¤Ç¤Î, sp() ¤Î°ú¿ô¤Î¿¹à¼°¤ÎÁ´¤Æ¤Î°ø»Ò¤òɽ¤¹. ¤½¤ÎÂÎ¤Ï ºÇ¾®Ê¬²òÂΤȤʤäƤ¤¤ë¤Î¤Ç, °ø»Ò¤ÏÁ´¤Æ 1 ¼¡¤È¤Ê¤ë¤ï¤±¤Ç¤¢¤ë. af() ¤ÈƱÍÍ, Á´¤Æ¤Î°ø»Ò¤ÎÀѤÏ, ¤â¤È¤Î¿¹à¼°¤ÈÄê¿ôÇܤκ¹¤Ï¤¢¤êÆÀ¤ë.


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