Soal Matematika Suku Banyak (Polinomial)

p(x) : (x - 2) bersisa 3 => p(2) = 3
p(x) : (x + 2) bersisa -5 => p(-2) = -5
p(x) : (x^2 - 4) bersisa (ax + b)
p(2) = 2a + b = 3
p(-2) = -2a + b = -5
--------------------------- +
...................... 2b = -2 => b = -1
2a + b = 3 => 2a - 1 = 3 => 2a = 4 => a = 2
4a + b = 4(2) + (-1) = 7

(X^2 - 4) = (x - 2)(x + 2)
x = 2 >> 2a + b = 3
x = -2 >> -2a + b = -5
Eliminasi subtitusi
Hasil = a = 2 ; b = -1
4a + b = 4(2) + (-1) = 7 (e)