Toán Lớp 8: PTĐTTNT: x^4 – 6x^3 + 12x^2 – 14x + 3
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Toán Lớp 8: PTĐTTNT: x^4 – 6x^3 + 12x^2 – 14x + 3
Comments ( 2 )
$= (x^4 – 2x^3 + 3x^2) + (- 4x^3 + 8x^2 – 12x) + (x^2 – 2x + 3 )$
$= x^2.( x^2 – 2x + 3 ) – 4x.(x^2 – 2x + 3 ) + (x^2 – 2x + 3)$
$=( x^2 – 2x + 3 ).( x^2 – 4x + 1 )$
= (x^4 – 2x^3 + 3x^2) + (- 4x^3 + 8x^2 – 12x) + (x^2 – 2x + 3 )
= x^2.( x^2 – 2x + 3 ) – 4x.(x^2 – 2x + 3 ) + (x^2 – 2x + 3)
=( x^2 – 2x + 3 ).( x^2 – 4x + 1 )