mohon bantuannya :) tentang Polinomial

p(x) = (x - 1)(x - 3).Q(x) + (Ax + B)
p(1) = (1 - 1)(1 - 3).Q(1) + A(1) + B = A + B
p(3) = (3 - 1)(3 - 3).Q(3) + A(3) + B = 3A + B

p(1) = A + B
A = p(1) - B

p(3) = 3A + B
p(3) = 3(p(1) - B) + B
p(3) = 3p(1) - 3B + B
p(3) = 3p(1) - 2B
2B = 3p(1) - p(3)
B = (3p(1) - p(3))/2
= (3 - p(3))/2

A = p(1) - B
A = p(1) - (3p(1) - p(3))/2
A = (2p(1) - (3p(1) - p(3)))/2
A = (-p(1) + p(3))/2
A = (p(3) - p(1))/2
= (p(3) - 1)/2

Maka, sisanya : Ax + B = x(p(3) - 1)/2 + (3 - p(3))/2
= (p(3)x - x + 3 - p(3))/2
= (p(3)x - x + 1 - p(3) + 1)/2
= (1/2)(p(3) - 1)(x - 1) + 1