jika ax3 + 30x + 8b = (x - 2) Q (x) + 20 (a + b) dan 4a = b, maka Q(x) =.... (A) x2 - 2x - 34 (B) x2 + 2x + 34 (C) x2 - 4x + 60 (D) 4x2 + 2x + 34 (E) 4x2 + 4x -

ax^3 + 30x + 8b = (x - 2) Q(x) + 20(a + b) ====> 4a = b
ax^3 + 30x + 8(4a) = (x - 2) Q(x) + 20(a + 4a)
ax^3 + 30x + 32a = (x - 2) Q(x) + 20(5a)
ax^3 + 30x + 32a = (x - 2) Q(x) + 100a
Artinya
(ax^3 + 30x + 32a) : (x - 2) bersisa 100a dan hasil baginya = Q(x)
=> (x - 2) maka x = 2
a(2)^3 + 30(2) + 32a = 100a
8a + 60 + 32a = 100a
40a + 60 = 100a
60 = 60a
a = 1
(x^3 + 30x + 32) : (x - 2)
2 | 1 ... 0 ... 30 ... 32
... | ..... 2 .... 4 ..... 68
----------------------------- +
..... 1 ... 2 ... 34 ..|..100 => sisa
Hasil bagi = Q(x) = x^2 + 2x + 34

^ = pangkat

suku banyak

ax³ + 30x + 8b = (x -2) . q(x) + 20(a+b)
misal f(x) = ax³ + 30x + 8b
f(x ) dibagi (x-2) = q(x) + 20(a+b)
dengan horner