# Question #85073

##### 1 Answer

#### Explanation:

Performing the decomposition, we first set up the equation with the unknown constants.

Multiplying both sides by

#=(A+B)x^3+(-3A-2B+C)x^2+(3A+B-C+D)x+(-A)#

Equating the coefficients of corresponding powers of

From the fourth equation, we have

Substituting that into the first equation and solving for

Substituting both of those into the second equation and solving for

Substituting all of those into the third equation and solving for

Thus, from our original equation, we have the decomposition