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# divisible & divided of polynomial

我查字典

divisible = 除晒(俊) <<<<唔識打= =

divided = 可除

咁照咁講~~

divisible 計出黎既remainder 應該係0

divided 計出黎既remainder 係0以外

咁我想問

有條題目

find the remainder when x^3-x^2 +1 is "divisible" by 2x+1

照道理我唔駛計都知R=0 但事實上唔係

other

f(x) is "divisible" by x-k

find the remainder when f(x) is "divisible" by x+k

我諗大家都明我講緊咩的了

第一,f(x) is "divisible" by x-k 係完全冇問題

第二,find the remainder when f(x) is "divisible" by x+k~~既然除晒點會仲有remainder呢

第三 , 我睇番中文係 xxxxx可被x-k"除晒" , f(x)"除以"x+k的xxxx

好明顯區別到2個既分別

但我考既英文卷梗係要明左佢啦=.=

-----------------------

咁究竟係份卷出錯左

定係我誤解左 " divisble "既meaning

又或者其實 " divisble " 亦可解作 " divided "呢???

### 1 Answer

- Anonymous1 decade agoFavorite Answer
divisible = 除晒(俊) <<<<唔識打= =

divisible = 除得盡 <<<<正確係= =

divided = 可除

divided = 被除 <<<<正確係= =

咁照咁講~~

divisible 計出黎既remainder 應該係0

正確, 你講得o岩

divided 計出黎既remainder 係0以外

咁又未必, divided只表示一個數被另一個數除,

remainder可以係0, 亦可以唔係0

咁我想問有條題目

find the remainder when x^3-x^2 +1 is "divisible" by 2x+1

照道理我唔駛計都知R=0 但事實上唔係

好明顯你條題目錯左囉, 根據remainder theorem

設f(x)=x^3-x^2 +1

put x=-1/2

f(-1/2)=(-1/2)^3-(-1/2)^2 +1

=9/8

f(-1/2)≠0

∴x^3-x^2 +1 is not divisible by 2x+1

所以, 題目正確是

find the remainder when x^3-x^2 +1 is "divided" by 2x+1

other

f(x) is "divisible" by x-k

find the remainder when f(x) is "divisible" by x+k

我諗大家都明我講緊咩的了

第一,f(x) is "divisible" by x-k 係完全冇問題

第二,find the remainder when f(x) is "divisible" by x+k~~既然除晒點會仲有remainder呢

這一題又係一樣, 正確應該是

find the remainder when f(x) is "divided" by x+k

第三 , 我睇番中文係 xxxxx可被x-k"除晒" , f(x)"除以"x+k的xxxx

好明顯區別到2個既分別

但我考既英文卷梗係要明左佢啦=.=

-----------------------

咁究竟係份卷出錯左

定係我誤解左 " divisible "既meaning

又或者其實 " divisible " 亦可解作 " divided "呢???

" divisible " ≠ " divided "

從詞性區分, " divisible "是形容詞

" is divided "是被動式, 沒有被整除既意思

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