#1
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$$5x^4-36x^3-52x^2+72x+20$$ |
#2
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$5x^4-36x^3-52x^2+72x+20=(x^2-8x-2)(5x^2+4x-10)$ |
#3
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555+ à¾Ôè§ÊͺÇѹ¹Õéàͧ ⨷Â×Áѹ·ÐáÁè§æ ÍФÃѺ à¤éҺ͡ãËéãªé·ÄÉ®ÕàÈÉàËÅ×Í
»Å.¤Ø³ sharky boy ÍÂÙè ¹Ç. »Ð¤ÃѺ
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1 = 2 ä´é 555+ ÁѹäÁèÁÕÍÐäÃá¹è¹Í¹ 555+ |
#4
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äÁè¹èÒ¨Ðãªé·ÄÉ®ÕàÈÉàËÅ×Íä´é¤ÃѺ
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#5
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¾Ç¡·ÕèãËéᡵÑÇ»ÃСͺËÅÒÂ澨¹ìÍÂèÒ§¹Õé
¾Í¨ÐÁÕÇÔ¸Õ·ÓËÃ×ÍÇÔ¸ÕÁͧ§èÒÂæäËÁ¤ÃѺ à¾ÃÒÐÁѹÂÒ¡ÁÒ¡·Õè¨Ð¹Ö¡àÅ¢ÍÍ¡ÁÒ »Å.äÁèàÍÒÇÔ¸Õ¤Ù³¡ÃШÒ¨ҡªé͹ФÃѺ |
#6
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1 = 2 ä´é 555+ ÁѹäÁèÁÕÍÐäÃá¹è¹Í¹ 555+ |
#7
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ÍéÒ§ÍÔ§:
àÃÒ¡çÅͧà´ÒÇèÒÁѹÍÒ¨¨Ðá¡ä´éà»ç¹ $5x^4-36x^3-52x^2+72x+20=(ax^2+bx+c)(px^2+qx+r)$ áÅéÇàÃÒ¡çà·ÕºÊÑÁ»ÃÐÊÔ·¸Ôì¤ÃѺ ¨ÃÔ§æáÅéÇàÃÒÊÒÁÒöàÅ×Í¡ãËé $a=1$ ä»àÅÂä´é àËÁ×͹¡ÑºÇèÒàÃÒ·ÓÍÂèÒ§¹Õé $(ax^2+bx+c)(px^2+qx+r)=(x^2+\frac{b}{a}x+\frac{c}{a})(apx^2+aqx+ar)=(x^2+Bx+C)(Px^2+Qx+R)$ ¤ÓµÍº $5x^4-36x^3-52x^2+72x+20=(x^2-8x-2)(5x^2+4x-10)$ ·ÓãËéàÃÒàËç¹ÇèÒÃÒ¡¢Í§¾ËعÒÁ¹ÕéäÁèãªè¨Ó¹Ç¹µÃáÂÐ à¾ÃÒЩйÑé¹àÃÒãªéÇÔ¸ÕàÈÉàËÅ×ÍäÁèä´é à¾ÃÒл¡µÔáÅéÇàÃÒ¨Ðá·¹áµèàÈÉÊèÇ¹Å§ä» |
#8
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#7
¢Íº¤Ø³ÁÒ¡¤ÃѺ ¶éÒà»ç¹ä»ä´é¼Áú¡Ç¹¢Í⨷ÂìᡵÑÇ»ÃСͺ á¹Ç¹Õé˹èͤÃѺ ÍÂÒ¡½Ö¡»ÃÐʺ¡Òóì |
#9
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ÍéÒ§ÍÔ§:
1.$2x^6+5x^5+11x^4+14x^3+16x^2+8x+4$ 2.$x^4+3x^3+6x^2+5x+3$ 3.$4x^4+13x^3+28x^2+27x+18$ 4.$-18x^4+27x^3-28x^2+13x-4$ 5.$333x^4+666x^3+888x^2-222x-333$ 6.$3456x^4-54$ 7.$3456x^4+432x^3+456x^2-54x-111$ »ÃÐÁÒ³¹Õéä´éäËÁ¤ÃѺ |
#10
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#9
¢Íº¤Ø³ÍÂèÒ§ÊÙ§¤ÃѺ |
#11
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·ÓäÁÁѹÂÒ¡ÍÂèÒ§¹Õé TT
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#12
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#13
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ÊÓËÃѺ¹Ñ¡àÃÕ¹ ¹Ç.¹Ð¤ÃѺ
Í.àªÒÇìºÍ¡ÇèÒ ¢é͹Õè¿ÃչФÃѺ à¾ÃÒÐÍ.à©ÅÔÁªÑ ÍÍ¡¢éÍÊͺ¼Ô´¤ÃѺ ¼Á¡çà»ç¹Ë¹Öè§ã¹ ¹Ç.¹èФÃѺ math_lnw ÍÂÙè ¹Ç.ËÃͤÃѺ Ëéͧä˹ËÃͤÃѺ ¼ÁÍÂÙè 3/1 ¹èФÃѺ ¢é͹Õé¼Á¡çµÍºä»ÇèÒäÁèÊÒÁÒöá¡ä´é áµè¡çáÊ´§ÇÔ¸Õ·ÓẺÍ×è¹ãËé´Ù¹èФÃѺ... ÊÃØ»¤×Í ¿ÃÕ¤ÃÕº |
#14
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ÍéÒ§ÍÔ§:
6.$54(8x^2-1)(8x^2+1)$ ÃÖà»ÅèÒ
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#15
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$5x^4-36x^3-52x^2+72x+20$
= $(x^2-8 x-2) (5 x^2+4 x-10)$ 1.$2x^6+5x^5+11x^4+14x^3+16x^2+8x+4$ = $(x^2+2) (x^2+2 x+2) (2 x^2+x+1)$ 2.$x^4+3x^3+6x^2+5x+3$ =$(x^2+x+1) (x^2+2 x+3)$ 3.$4x^4+13x^3+28x^2+27x+18$ =$(x^2+2 x+3) (4 x^2+5 x+6)$ 4.$-18x^4+27x^3-28x^2+13x-4$ =$-(3 x^2-2 x+1) (6 x^2-5 x+4)$ 5.$333x^4+666x^3+888x^2-222x-333$ =$111 (x^2+2 x+3) (3 x^2-1)$ 6.$3456x^4-54$ =$54 (8 x^2-1) (8 x^2+1)$ 7.$3456x^4+432x^3+456x^2-54x-111$ =$3 (8 x^2-1) (144 x^2+18 x+37)$ àÍÒà©ÅÂÁÒãËé áÅéÇÅͧ·ÓÂé͹¨Ò¡¤ÓµÍºä»ËÒ⨷Âì´Ù¤ÃѺ µÑÇÍÂèÒ§¢éÍ 6. Åͧ·ÓÂé͹¢Öé¹ä» ¡ç¨ÐàËç¹á¹Ç·Ò§àͧ¤ÃѺ ½Ö¡·ÓºèÍÂæ ´Ç§µÒ¨ÐàË繸ÃÃÁ 6.$3456x^4-54$ = $54(64x^4-1)$ =$54[(8x^2)^2-(1)^2]$ =$54 (8 x^2-1) (8 x^2+1)$
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