若多項式f(x) = 2(x-1) +7(x-1)' + 5(x-1)+4 = ax + bx + Cx+d,a,b,c,d為實數,則下列何者正確?
(1) a = 4 (2) b = 5 (3) c = 5 (4) d = 2 (5) 以上皆非
a=2
(= -2
d=1
若三次整係數多項式f(x),滿足(1) = 36,f(0) =
7.7724(-1) =
= 90,f(-2) = 72,則下列選項何者錯誤?
(1) f(x)除以x-1的餘式為36 v (2) f(x)除以(x-1)(x + 2)的餘式為-12x + 48
(3)若f(x) = c(x - 1)(x +2)g(x) + r(x),其中q(x) ,r(x)為整係數多項式,則r(x) = -12(x-1)(x+2) - 12x + 48
(4) #f(x) = A(x - 1)3 + B(x - 1)2 + C(x - 1) + D , J A = 3
(5)&BIF(x)F(1) = f(1) · F(0) = f(0) · F(-1) = f(-1) · F(-2) = f(-2) · BIJF(x)FFD(x - 1)x(x + 1)(x + 2)
的餘式為f(x)