Jika p(x)=(x-1) q(x) +1 dan q(3)=5, maka sisa pembagian p(x) oleh (x-1) (x-3) adalah a. 2x-1 b. 3x-2 c. 5x-4 d. -3x+4 e. -5x+6

p(x) = (x - 1) q(x) + 1 artinya
p(x) : (x - 1) bersisa 1 => p(1) = 1

p(x) = (x - 1) q(x) + 1 =====> q(3) = 5 , x = 3
p(3) = (3 - 1) q(3) + 1
p(3) = 2 (5) + 1
p(3) = 11

Misal
p(x) : (x - 1)(x - 3) bersisa ax + b
p(1) = a + b = 1
p(3) = 3a + b = 11
------------------------ --
......... -2a = -10 => a = 5

a + b = 1 => 5 + b = 1 => b = -4

Jadi sisa = ax + b = 5x - 4