Question

Suku banyak f(x) jika dibagi (x-2) sisanya 24, dan jika dibagi (x+5) sisanya 10. tentukan sisa pembagian jika f(x) dibagi (x2 + 3x - 10)

Answer 1

F(2) = 2a+b = 24... (1)
f(-5) = -5a+b = 10....(2)

eliminasi persamaan (1) dan (2)
2a+b = 24
-5a+b = 10
7a = 14
a = 2

2a + b = 24
4 + b = 24
b = 20

sisa pembagian x^2+3x-10 = ax+b = 2x+20