计算(x^4-4x^3+1)÷(x^3-3x^2+1)的商和余式

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计算(x^4-4x^3+1)÷(x^3-3x^2+1)的商和余式
计算(x^4-4x^3+1)÷(x^3-3x^2+1)的商和余式

.......................................................x-1
..........................-----------------------------------
x^3-3x^2 +1）x^4-4x^3 +1
.............................x^4-3x^...

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.......................................................x-1
..........................-----------------------------------
x^3-3x^2 +1）x^4-4x^3 +1
.............................x^4-3x^3 +x
............................-------------------------------
.....................................-x^3...........-x+1
.....................................-x^3+3x^2 -1
...................................----------------------
-3x^2 -x+2,
∴(x^4-4x^3+1)÷(x^3-3x^2+1)的商是(x-1),余式是(-3x^2-x+2).

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