(x^2 +2) / ((x-1)(x+2)^2)
I assume this has a repeated linear factor and I worked out an answer but I probably did it wrong anyway.
I got A=0.3125
B= -0.5
C= 0.33'
I assume this has a repeated linear factor and I worked out an answer but I probably did it wrong anyway.
I got A=0.3125
B= -0.5
C= 0.33'
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I don't know why you'd use decimal values. You don't indicate where A, B, and C are supposed to go, but those coefficients aren't correct. If you put
(x² +2) / ((x-1)(x+2)²) = A/(x - 1) + B/(x + 2) + C/(x + 2)²,
you should get
A = 1/3, B = 2/3, and C = -2.
(x² +2) / ((x-1)(x+2)²) = A/(x - 1) + B/(x + 2) + C/(x + 2)²,
you should get
A = 1/3, B = 2/3, and C = -2.