Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants:
4x + 1/(x + 6)(x - 5)
I came up with
A/x + 6 + B/x - 5
Yes, if you mean
(4x+1)/(x+6)(x-5) and
A/(x+6) + B/(x-5)
yes, thanks just like to check my answers
To find the form of the partial fraction decomposition of a rational expression, you need to follow these steps:
Step 1: Factor the denominator.
In this case, the denominator is (x + 6)(x - 5).
Step 2: Write the partial fraction decomposition.
The form of the partial fraction decomposition will be:
A/(x + 6) + B/(x - 5)
Where A and B are constants that need to be determined.
That's it! You have successfully written the form of the partial fraction decomposition for the given rational expression:
4x + 1 / (x + 6)(x - 5) = A/(x + 6) + B/(x - 5)