Solving a problem with term 'decomposition'.

The equation is not making any sense to me - nothing is comparable to the other.

Consider the decomposition of the equation 19x^2 + 23x +10 6x^3 + 17x^2 - 4x â?" 3 into partial A + B + C X+3 2x-1 3x-1.

How does this work?????

I have 4 solutions, but I don't know how to make them work.

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...ving this is to do the following:

Comparing the first fraction to the three right-most fractions, we note that the denominators are the same (shown above). ...