Question

123

求解

型1除法原理
2
2
a
1設f(x) 為一多項式,若(x-1)/(x)除以x+x+1的餘式為5x+7,则f(x)除以
x++x+1 KJER Ithning -44-3
XXXH (ax +(b-ax-b
解
(x-1) fW) = (x+x+1) 01X) +15*+)
axř axta
(b-2a)x-(bta)
f(x)= (x4X+1) Q(x) + axth
b-2a=5
(x4) f69 = (X7x4) (x+)&(1) +(b) (x4)
{
+ ax + (b-ax-b el
{bra=1
ta (4+x+1)+(b-2a)X-(67)
(x+x+1)[(H) 8 9+13+(b-2 03-(Ha)