Question

Jika v(x) dibagi ileh x^2 - x dan x^2 + x masing masing bersisah 5x + 1 dan3x +1 maka, jika v(x) dibagi x^2 - 1 bersisa

Answer 1

F(x) dibagi x² - x=0 sisa (5x+1)
x(x-1)= 0--> x = 0 --> f(0) = 1
x = 1 --> f(1) = 6

f(x) dibagi x² + x = 0 sisa (3x+1)
x(x+1) =0---> f(0) = 1
x = -1 --> f(-1) = -2

f(x) dibagi x² -1 = 0 sisa s(x)= ax + b
(x -1)(x+1) = 0 -->
x = 1 --> s(1)= f(1) --> a +b = 6
x = -1 --> s(-1) = f(-1) -->-a+b = -2
b = 2, a= 4

s(x)= 4x + 2