Remainder Theorem

lawkanok

Remainder Theorem若果用Remainder Theorem solve 9^99/(10),
個Remainder 係-1.但remainder o係 全數字的數式中係個正數(像10/3=3....1),我係咪應該把用remainder theorem 加返10呢?

同埋Let f(x)=x^n+y , divided by x+z , n and y and z for all real number
by remainder theorem
Remainder=-z+y
若果-z+y 係負數,加返x+z係咪=正的remainder呢?
(像121/10=13...-9 , -9+10=1=the remainder of 121/10=12...1)??

STEVE

要, 一般上正整數除式的remainder 要係小於除數的正整數
9^99/(10)

Let f(x)=x^n+y , divided by x+z , n and y and z for all real number
by remainder theorem
Remainder=-z+y
若果-z+y 係負數,加返x+z係咪=正的remainder呢?
(像121/10=13...-9 , -9+10=1=the remainder of 121/10=12...1)??

咪住先, 個power去左邊?

PS, 高中還是用帶餘除式較好

流映

如果係第一條，餘數應該係非負的，並唔係因為負數係錯，只不過習慣上係咁
如果係代數，就更唔好變返佢了