Maths

👨🏻‍🏫 學術台數學

知識就是力量

2010-04-14 8:31 pm

If f(x) is divided by (2x-3), the remainder is R. If f(x) is divided by (6-2x), the remainder is _______ .

更新1:

sorry, there is a typing mistake (6-2x) --> (6-4x)

回答 (2)

用戶2053

2010-04-14 9:18 pm

✔ 最佳答案

f(x) = Q(x) * (2x-3) + R
If f(x) is divided by (6-4x) = (-4x + 6) , the remainder is f(- 6/ (-4)) = f(3/2)
= Q(3/2) * (2 * 3/2 - 3) + R
= R

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[匿名]

2010-04-14 9:21 pm

f(x) = (2x-3)q(x) + R

=> f(3/2) = R
f(x) = (6-2X)p(x) + A

A = f(6/4) = f(3/2) = R

Remainder is R

參考: ME

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