How do you write the partial fraction decomposition of the rational expression #(-13x+11) / (2x^3 - 2x^2 + x - 1)#?
From the given
I will assume that we already know factoring, ok?
This is our denominator for the right sides of the equation
Let us set up the equation and the variables A, B
Simplify using the LCD
Expand then simplify
Rearrange from highest to lowest degree the terms in the numerator at the right side of the equation
Let us match the numerical coefficients of the terms of the numerators of the left and right side of the equation
The equations are
Simultaneous solution results to
Our final answer
God bless....I hope the explanation is useful.