polynomial

2010-03-21 8:56 am
p(x)=x^3+3x^2+4x+1

given p(x)=0 has roots a,b,c

find a polynomial with zeros a^3, b^3, c^3

you can use any method

the one with the most "beautiful" method can win
may not be the fastest

回答 (2)

2010-03-21 6:51 pm
✔ 最佳答案
http://www.dumpt.com/img/viewer.php?file=sr065nm1cc3xypg7hjjq.bmp
係果個網度, 少少解釋 , 因為新方程既roots 係舊方程既三次方 ,
所以我一開始let y = x^3
2010-03-22 9:08 am
Let y=x³ => x=y^(1/3)
Put x=y^(1/3) into p(x)=0


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