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x² - 3x + 2 = 0
(x - 1)(x - 2) = 0
x = 1 v x = 2
f(1) = 1³ + A.1² + B.1 - 6
0 = A + B - 6 ..........1
f(2) = 2³ + A.2² + B.2 - 6
0 = 8 + 4A + 2B - 6
0 = 4A + 2B + 2.......2
dari eliminasi 1 dan 2 didapat A = -7, B = 13
A + B = -7 + 13 = 6
mohon koreksi lagi..semoga membantu..