[Toán Đại 8] Phân tích đa thức thành nhân tử

T

tuan_chelsea_98

Chào bạn

a) x^4+3x^3+12x-16
=(x^3-16)+(3x^3+12x)
=(x^2-4)(x^2+4) + 3x(x^2+4)
=(x^2+4)(x^2+3x+4)
=(x^2+4)(x^2+4x-x-4) [tự biến đổi]
=(x^2+4)(x+4)(x-1)
(*)(*)(*)(*)(*)(*)(*)(*)(*)(*)(*)(*)(*)(*)(*)(*)(*)(*)(*)(*)(*)(*)(*)(*)
 
B

braga

coganghoctapthatgioi said:
Ta có:
[TEX] x^3+2x^2-5x-6[/TEX]=0
\Leftrightarrow[TEX]x^2(x-2)+4x(x-2)+3(x-2)=0[/TEX]
\Leftrightarrow[TEX] (x-2)(x^2+4x+3)[/TEX]=0
\Leftrightarrow[TEX](x-2)(x+1)(x+3)[/TEX]=0
\Leftrightarrow x=2, x=-1 hoặc x=-3
Bấm để xem đầy đủ nội dung ...

Cách phân tích khác :D

[tex]pt\Leftrightarrow x^3+x^2+x^2+x-6x-6=0[/tex]

[tex]\Leftrightarrow x^2(x+1)+x(x+1)-6(x+1)=0[/tex]

[tex]\Leftrightarrow (x+1)(x^2+x-6)=0[/tex]

[tex]\Leftrightarrow (x+1)(x-2)(x+3)=0[/tex]

[TEX]\Leftrightarrow \[x=-1 \\ x=2 \\ x=-3[/TEX]
 
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H

hoanghuy1999ct

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H

hoanghuy1999ct

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H

hoanghuy1999ct

\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}%%-%%-%%-%%-%%-%%-%%-%%-%%-%%-|-)|-)|-)|-)|-)|-)|-)|-)|-)|-)o-+o-+o-+o-+o-+o-+o-+o-+o-+:mad::mad::mad::mad::mad::mad::mad::confused::confused::confused::confused::confused::confused::(:(:(:(:(:(:):):):):):):eek::eek::eek::eek::eek::eek::eek::cool::cool::cool::cool::cool::cool:@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)/:)/:)/:)/:)/:)/:)/:)/:):)>-:)>-:)>-:)>-:)>-:)>-:)>-o=>o=>o=>o=>o=>\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}%%-%%-%%-%%-%%-%%-%%-%%-%%-%%-|-)|-)|-)|-)|-)|-)|-)|-)|-)|-)o-+o-+o-+o-+o-+o-+o-+o-+o-+:mad::mad::mad::mad::mad::mad::mad::confused::confused::confused::confused::confused::confused::(:(:(:(:(:(:):):):):):):eek::eek::eek::eek::eek::eek::eek::cool::cool::cool::cool::cool::cool:@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)/:)/:)/:)/:)/:)/:)/:)/:):)>-:)>-:)>-:)>-:)>-:)>-:)>-o=>o=>o=>o=>o=>\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}%%-%%-%%-%%-%%-%%-%%-%%-%%-%%-|-)|-)|-)|-)|-)|-)|-)|-)|-)|-)o-+o-+o-+o-+o-+o-+o-+o-+o-+:mad::mad::mad::mad::mad::mad::mad::confused::confused::confused::confused::confused::confused::(:(:(:(:(:(:):):):):):):eek::eek::eek::eek::eek::eek::eek::cool::cool::cool::cool::cool::cool:@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)/:)/:)/:)/:)/:)/:)/:)/:):)>-:)>-:)>-:)>-:)>-:)>-:)>-o=>o=>o=>o=>o=>\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}%%-%%-%%-%%-%%-%%-%%-%%-%%-%%-|-)|-)|-)|-)|-)|-)|-)|-)|-)|-)o-+o-+o-+o-+o-+o-+o-+o-+o-+:mad::mad::mad::mad::mad::mad::mad::confused::confused::confused::confused::confused::confused::(:(:(:(:(:(:):):):):):):eek::eek::eek::eek::eek::eek::eek::cool::cool::cool::cool::cool::cool:@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)/:)/:)/:)/:)/:)/:)/:)/:):)>-:)>-:)>-:)>-:)>-:)>-:)>-o=>o=>o=>o=>o=>\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}%%-%%-%%-%%-%%-%%-%%-%%-%%-%%-|-)|-)|-)|-)|-)|-)|-)|-)|-)|-)o-+o-+o-+o-+o-+o-+o-+o-+o-+:mad::mad::mad::mad::mad::mad::mad::confused::confused::confused::confused::confused::confused::(:(:(:(:(:(:):):):):):):eek::eek::eek::eek::eek::eek::eek::cool::cool::cool::cool::cool::cool:@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)/:)/:)/:)/:)/:)/:)/:)/:):)>-:)>-:)>-:)>-:)>-:)>-:)>-o=>o=>o=>o=>o=>\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}%%-%%-%%-%%-%%-%%-%%-%%-%%-%%-|-)|-)|-)|-)|-)|-)|-)|-)|-)|-)o-+o-+o-+o-+o-+o-+o-+o-+o-+:mad::mad::mad::mad::mad::mad::mad::confused::confused::confused::confused::confused::confused::(:(:(:(:(:(:):):):):):):eek::eek::eek::eek::eek::eek::eek::cool::cool::cool::cool::cool::cool:@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)/:)/:)/:)/:)/:)/:)/:)/:):)>-:)>-:)>-:)>-:)>-:)>-:)>-o=>o=>o=>o=>o=>\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}%%-%%-%%-%%-%%-%%-%%-%%-%%-%%-|-)|-)|-)|-)|-)|-)|-)|-)|-)|-)o-+o-+o-+o-+o-+o-+o-+o-+o-+:mad::mad::mad::mad::mad::mad::mad::confused::confused::confused::confused::confused::confused::(:(:(:(:(:(:):):):):):):eek::eek::eek::eek::eek::eek::eek::cool::cool::cool::cool::cool::cool:@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)/:)/:)/:)/:)/:)/:)/:)/:):)>-:)>-:)>-:)>-:)>-:)>-:)>-o=>o=>o=>o=>o=>\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}%%-%%-%%-%%-%%-%%-%%-%%-%%-%%-|-)|-)|-)|-)|-)|-)|-)|-)|-)|-)o-+o-+o-+o-+o-+o-+o-+o-+o-+:mad::mad::mad::mad::mad::mad::mad::confused::confused::confused::confused::confused::confused::(:(:(:(:(:(:):):):):):):eek::eek::eek::eek::eek::eek::eek::cool::cool::cool::cool::cool::cool:@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)/:)/:)/:)/:)/:)/:)/:)/:):)>-:)>-:)>-:)>-:)>-:)>-:)>-o=>o=>o=>o=>o=>\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}%%-%%-%%-%%-%%-%%-%%-%%-%%-%%-|-)|-)|-)|-)|-)|-)|-)|-)|-)|-)o-+o-+o-+o-+o-+o-+o-+o-+o-+:mad::mad::mad::mad::mad::mad::mad::confused::confused::confused::confused::confused::confused::(:(:(:(:(:(:):):):):):):eek::eek::eek::eek::eek::eek::eek::cool::cool::cool::cool::cool::cool:@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)/:)/:)/:)/:)/:)/:)/:)/:):)>-:)>-:)>-:)>-:)>-:)>-:)>-o=>o=>o=>o=>o=>\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}%%-%%-%%-%%-%%-%%-%%-%%-%%-%%-|-)|-)|-)|-)|-)|-)|-)|-)|-)|-)o-+o-+o-+o-+o-+o-+o-+o-+o-+:mad::mad::mad::mad::mad::mad::mad::confused::confused::confused::confused::confused::confused::(:(:(:(:(:(:):):):):):):eek::eek::eek::eek::eek::eek::eek::cool::cool::cool::cool::cool::cool:@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)/:)/:)/:)/:)/:)/:)/:)/:):)>-:)>-:)>-:)>-:)>-:)>-:)>-o=>o=>o=>o=>o=>\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}%%-%%-%%-%%-%%-%%-%%-%%-%%-%%-|-)|-)|-)|-)|-)|-)|-)|-)|-)|-)o-+o-+o-+o-+o-+o-+o-+o-+o-+:mad::mad::mad::mad::mad::mad::mad::confused::confused::confused::confused::confused::confused::(:(:(:(:(:(:):):):):):):eek::eek::eek::eek::eek::eek::eek::cool::cool::cool::cool::cool::cool:@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)/:)/:)/:)/:)/:)/:)/:)/:):)>-:)>-:)>-:)>-:)>-:)>-:)>-o=>o=>o=>o=>o=>\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}%%-%%-%%-%%-%%-%%-%%-%%-%%-%%-|-)|-)|-)|-)|-)|-)|-)|-)|-)|-)o-+o-+o-+o-+o-+o-+o-+o-+o-+:mad::mad::mad::mad::mad::mad::mad::confused::confused::confused::confused::confused::confused::(:(:(:(:(:(:):):):):):):eek::eek::eek::eek::eek::eek::eek::cool::cool::cool::cool::cool::cool:@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)/:)/:)/:)/:)/:)/:)/:)/:):)>-:)>-:)>-:)>-:)>-:)>-:)>-o=>o=>o=>o=>o=>\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}%%-%%-%%-%%-%%-%%-%%-%%-%%-%%-|-)|-)|-)|-)|-)|-)|-)|-)|-)|-)o-+o-+o-+o-+o-+o-+o-+o-+o-+:mad::mad::mad::mad::mad::mad::mad::confused::confused::confused::confused::confused::confused::(:(:(:(:(:(:):):):):):):eek::eek::eek::eek::eek::eek::eek::cool::cool::cool::cool::cool::cool:@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)/:)/:)/:)/:)/:)/:)/:)/:):)>-:)>-:)>-:)>-:)>-:)>-:)>-o=>o=>o=>o=>o=>\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}\bigcap_{}^{}%%-%%-%%-%%-%%-%%-%%-%%-%%-%%-|-)|-)|-)|-)|-)|-)|-)|-)|-)|-)o-+o-+o-+o-+o-+o-+o-+o-+o-+:mad::mad::mad::mad::mad::mad::mad::confused::confused::confused::confused::confused::confused::(:(:(:(:(:(:):):):):):):eek::eek::eek::eek::eek::eek::eek::cool::cool::cool::cool::cool::cool:@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)@-)/:)/:)/:)/:)/:)/:)/:)/:):)>-:)>-:)>-:)>-:)>-:)>-:)>-o=>o=>o=>o=>o=>
 
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