Question

Suku banyak f(x) jika di bagi (x-1) sisanya 6 dan jika di bagi (x+3) sisanya -2. tentukan sisanya jika f(x) di bagi (x²+2x-3)!

Answer 1

(x²+2x-3) = (x +3) (x-1)
,
(x-1) sisa 6
maka:
px + q = 6
p + q = 6 ---> p = 6-q (pers 1)
,
(x+3) = -2
px + q = -2
-3p + q = -2 (pers 2)
,
-3p + q = -2
-3(6-q) + q = -2
-18 + 3q + q = -2
4q = -2 + 18
q = 16/4
q = 4
,
p = 6-q
p = 6-4
p = 2
,
maka sisa f(x) dibagi x² + 2x -3
= px + q
= 2x + 4
'
maaf kalo salah...