Re: [中學] 高一數學一題
※ 引述《wa007123456 (大笨羊)》之銘言:
: 1.設f(x)除以(x^3+1)得餘式2x^2-x+4,則f(x)除以(x^2-x+1)的餘式為____,
: f(x)除以x+1的餘式為_____。
: ans:x+2,7
: 感謝回答!
f(x)=Q(x)(x^3+1)+2x^2-x+4
=Q(x)(x^2-x+1)(x+1)+2(x^2-x+1)+x+2 = Q_1(x)(x^2-x+1)+x+2
=Q(x)(x+1)(x^2-x+1)+(2x-3)(x+1)+7 = Q_2(x)(x+1)+7
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 220.138.36.13
※ 編輯: BRIANKUO 來自: 220.138.36.13 (02/05 19:32)
→
02/05 19:33, , 1F
02/05 19:33, 1F
→
02/05 19:34, , 2F
02/05 19:34, 2F
推
02/05 19:35, , 3F
02/05 19:35, 3F
→
02/05 19:37, , 4F
02/05 19:37, 4F
→
02/05 19:37, , 5F
02/05 19:37, 5F
推
02/05 19:39, , 6F
02/05 19:39, 6F
→
02/05 19:40, , 7F
02/05 19:40, 7F
推
02/05 19:42, , 8F
02/05 19:42, 8F
→
02/05 19:43, , 9F
02/05 19:43, 9F
→
02/05 19:45, , 10F
02/05 19:45, 10F
推
02/05 20:03, , 11F
02/05 20:03, 11F
推
02/05 20:03, , 12F
02/05 20:03, 12F
→
02/05 20:07, , 13F
02/05 20:07, 13F
推
02/05 20:18, , 14F
02/05 20:18, 14F
討論串 (同標題文章)