Question

Tolong ya di jawab
6x² - 7x - 1 / X³ - 2x - x+2 = A/x - 2 + B/x-1 + C/x+1
Tentukan nilai a , b dan c ?? ( tanda / di ganti jadi per ya )

Answer 1

6x²-7x-1/x³-2x-x+2=A/x-2 + B /x-1 + c /x+1
6x²-7x-1 = A(x-1)(x+1) + B (x+1)(x-2) + C (x-1)(x-2)
6x²-7x-1= A (x²-1) + B (x²-x-2) + C (x²-3x+2)
6x²-7x+1= Ax²-A + B x²-Bx-2B+Cx²-3cx+2C
           = (A+B+C)x²+ (-B-3C)x-2B+2C
           
1. 6=A+B+C
2. -7=-B-3C
3.-2B+2C=-1

((7=B+3C ) x 2 ) - ( 1 = 2B-2C)
C = 13/8

-2B+2C=-1
2B-2C=1
2B-2.13/8=1
B=17/8

6 = A+B+C
6= A + !7/8 + 13/8
A=18/8