(3x^2+7) / ((x-1)(x^2+2x+5))
I'm going to verify your answer:
Multiply both sides by the denominator of the left term:
Now, we get:
We now compare the coefficients:
From the first equation, we see that . From the third equation, we see that . Now substitute these values for B and C into the second equation:
Thus, and
Thus the PFD is:
.
It's Good!!