How do you express #(x²+2) / (x+3) # in partial fractions?
because the top quadratic and the bottom is linear you're looking for something or the form
We know one bottom must be one because x+3 is linear.
We're starting with
We then apply standard fraction addition rules. We need to get then to a common base.
This is just like numerical fractions
So we get the bottom automatically.
Now we set
in standard from this is
Putting it all together we have