What is the graph of the function f (x) = f (x) = - x^2-9x-20/x+4?

Synthetic division? You’ll make the positive 4 a negative then set it up as a long division except you only put the numbers and not the x’s. So it would be - 4 division sign then on the right of the line is - 1 - 9-20. Then you bring the - 1 down and multiply - 4 by - 1 which would be 4 and you put it under - 9 then do the simple math for those then bring the - 5 down to the right of the negative 1. Then multiply negative 4 by negative 5 which is positive 20. So your answer wouldn’t have a remainder. So it would be - x-5