Question

Suku banyak dibagi dan memberikan hasil berturut-turut dan , tentukan sisanya jika dibagi dengan

Answer 1

X² - x = 0
x(x - 1) = 0
x = 0 v x = 1
f(0) = 5.0 + 1 = 1
f(1) = 5.1 + 1 = 6

x²+x = 0
x(x + 1) = 0
x = 0 v x = -1
f(0) = 3.0 + 1 = 1
f(-1) = 3.-1 + 1 = -2

f(x) = (x² - 1)H(x) + S(x)
f(X) = (x + 1)(x - 1).H(x) + S(x)

f(-1) = -p + q
-2 = -p + q......1
f(1) = p + q
6 = p + q......2

dari 1 dan 2 didapat p = 4 , q = 2 ==> S(x) = 4x + 2