F.4餘式定理問題 ..急

koman131498 你好 ~~~

就如上面的那位知識友所說，f 除 X 是 f(0) 的，f 除 X - 1 是 f(1)

Solution︰

f(X)=AX^3+4X^2+7X+B

f(2) = AX^3 + 4X^2 + 7X + B = 12

A(2^3) + 4(2^2) + 7(2) + B = 12

8A + 30 + B = 12

8A + B = -18 ..........(1)

f(X)=AX^3+4X^2+7X+B

f(0) = AX^3 + 4X^2 + 7X + B = -10

A(0^3) + 4(0^2) + 7(0) + B = -10

B = -10 ..........(2)

Put (2) into (1): 8A - 10 = -18

8A = -8

A = -1

所以 A = -1，B = -10

希望可以幫到你 ~~~~~

f (0) 呀
f 除X 是 x-0 => f(0)
而 是 x-1 => f(1)