Question

Diketahui f(x) = 3x^2 +ax^2 -7x +4. jika f(x) dibagi (3x-1) bersisa 2. jika f(x) dibagi (x+2) hasil baginya adalah...
Tolong bantu yaaa

Answer 1

3x - 1
maka x = 1/3
f(1/3) = 3(1/3)³ - a(1/3)² - 7(1/3) + 4 = 2
1/9 - a/9 - 7/3 + 4 = 2
---------------------------- ×9
1 - a - 21 + 36 = 18
-a + 16 = 18
-a = 2
a = -2
f(x) = 3x³ + 2x² - 7x + 4 ÷(x + 2)
3x²(x + 2) - 4x² - 7x + 4
3x²(x + 2) - 4x(x + 2) + x + 4
3x²(x + 2) - 4x(x + 2) + 1(x + 2) + 2
(x + 2)(3x² - 4x + 1) + 2
pembagi (x + 2)
hasil bagi (3x² - 4x + 1)
sisa 2