math多項式問題

2008-05-04 9:40 pm
If a polynomial f(x) is divisible by x-2,then f(X-2) is divisible by
a.x-2
b.x-4
c.x+2
d.x+4
pls explain

回答 (2)

2008-05-04 9:52 pm
✔ 最佳答案
polynomial f(x) is divisible by x-2 gives that f(2)=0
If f(X-2) is divisible by something, f(a-2)=0, a is a real number.
For f(2)=0, f(a-2)=0 if and only if a-2=2, a=4
therefore, the answer is b
2008-05-06 3:05 am
我轉一轉做中文,
f(x)可以比x-2除盡,當f(x-2)可以比咩除盡
以上的式中f(x)轉左做f(x-2),即=x-2
因f(x)可以比x-2除盡,所以,f(x-2)可以比x-2-2除盡
即f(x-2)可以比x-4除盡,所以答案=b


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