Jika diketahui f(x) = 3x³ - 9x² + 4bx + 18 = (x - 2) g(x) + 2b maka g(-2) = ... a. 12 b. 10 c. 8 d . 6 e. 4

(x-2). g(x) = 3x³ - 9x² + 4bx + 18 - 2b
(x-2). g(x) = 3x³ + (-6x² - 3x²) + (6x - 6x + 4bx) + (18 - 2b)
(x-2). g(x) = (3x³-6x²) + (-3x²+6x) + (-6x+4bx+18-2b)
(x-2). g(x) = (x-2)(3x²) + (x-2)(-3x) + ((4b-6)x + (18-2b))

agar ((4b-6)x + (18-2b)) habis dibagi (x-2)
maka
[tex] \frac{(4b-6)x}{x} [/tex] = [tex] \frac{18-2b}{-2} [/tex]
4b - 6 = b - 9
3b = -3
b = -1

(x-2). g(x) = (x-2)(3x²) + (x-2)(-3x) + ((4b-6)x + (18-2b))
(x-2). g(x) = (x-2)(3x²) + (x-2)(-3x) + (-10x + 20)
(x-2). g(x) = (x-2)(3x²) + (x-2)(-3x) + (x-2)(-10)
(x-2). g(x) = (x-2) (3x² - 3x -10)
g(x) = 3x² - 3x - 10

g(-2)
= 3(-2)² - 3(-2) - 10
= 12 + 6 - 10
= 8
**C**