Phân tích đa thức thành nhân tử ?

T

transformers123

Khai triển ra, ta đc:

$x^8-1250x^4-100x^2+390624$

$=x^8-26x^6+26x^6-676x^4-574x^4+14924x^2-15024x^2+390624$

$=x^6(x^2-26)+26x^4(x^2-24)-574x^2(x^2-26)-15024(x^2-26)$

$=(x^2-26)(x^6+26x^4-574x^2-15024)$

$=(x^2-26)(x^6-24x^4+50x^4-1200x^2+626x^2-15024)$

$=(x^2-26)[x^4(x^2-24)+50x^2(x^2-24)+626(x^2-24)]$

$=(x^2-26)(x^2-24)(x^2+50x^2+626)$

$=(x-\sqrt{26})(x+\sqrt{26})(x-\sqrt{24})(x+\sqrt{24})(x^2+50x^2+626)$
 
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