jika f(x)= X^3-(2k-1)x^2 +3x+(3k-2) dibagi (x+2) bersisa -7 maka nilai k=..... Pakai cara

Bab Polinomial
Matematika SMA Kelas XI

x + 2 = 0
x = -2

f(x) = x³ - (2k - 1) x² + 3x + 3k - 2
f(-2) = (-2)³ - (2k - 1) . (-2)² + 3 . (-2) + 3k - 2 = -7
-8 - (8k - 4) + - 6 + 3k - 2 = -7
-16 - 5k + 4 = -7
-5k = -7 + 12
k = 5 / -5
k = -1