Remainder Theorem

2014-03-02 4:12 pm
When f(x) is divided by (x - b/a), quotient is Q(x) and remainder is R. What is the quotient and the remainder when f(x) is divided by (ax - b) ? [ in terms of Q(x) and R.]

回答 (1)

2014-03-02 5:51 pm
✔ 最佳答案
by Remainder Theorem,
when f(x) is divided by (x - b/a), quotient is Q(x) and remainder is R.
f(x) = (x - b/a) [Q(x)] + R
notice that f(x) can be reformed as
f(x) = (1/a) (ax - b) [Q(x)] + R
f(x) = (ax - b) { (1/a) [Q(x)] } + R

so, the quotient and the remainder when f(x) is divided by (ax - b) are
(1/a) [Q(x)] and R respectively.
參考: myself


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