tentukan nilai k jika (2x³+x²+5x+k) di bagi (2x-1) tolongg dibantuuu yyya

Bab Polinomial
Matematika SMA Kelas XI

(2x³ + x² + 5x + k) habis dibagi (2x - 1)

2x - 1 = 0
2x = 1
x = 1/2

f(x) = 2x³ + x² + 5x + k = 0
f(1/2) = 2 . (1/2)³ + (1/2)² + 5 . (1/2) + k = 0
2 . 1/8 + 1/4 + 5/2 = -k
k = - (1/4 + 1/4 + 10/4)
k = -12/4
k = -3