Question

Apabila f(x) dibagi (x2-2x-15)bersisa 3x+2 dan dibagi (x2-2x-3) bersisa 5x-4 maka f(x) dibagi x2-8x+15 bersisa……

Answer 1

F(x) = (x + 3)(x - 5)H(x) + 3x + 2
f(x) = (x + 1)(x - 3)H(x) + 5x - 4

f(x) = (x - 3)(x - 5)H(x) + (ax + b)

faktor (x - 3):
f(3) = 5(3) - 4 = 11
faktor (x - 5):
f(5) = 3(5) + 2 = 17

eliminasi:
3a + b = 11
5a + b = 17
__________ -
- 2a = - 6
   a = 3
   b = 2
sisanya: 3x + 2