SOLUTION: Express f(x) in the form f(x) =ax+ b + c/x-2 for constants a b and c. The function is f(x) = 2x squared - 6 / x-2

Algebra ->  Functions -> SOLUTION: Express f(x) in the form f(x) =ax+ b + c/x-2 for constants a b and c. The function is f(x) = 2x squared - 6 / x-2      Log On


   

Question 1178362: Express f(x) in the form f(x) =ax+ b + c/x-2 for constants a b and c.
The function is f(x) = 2x squared - 6 / x-2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29+=+%282x%5E2+-+6%29+%2F+%28x-2%29
.........(2x%2B4
%28x-2%29|2x%5E2+-+6
........2x%5E2-4x..........subtract
.................4x
.................4x-8.........subtract, and bring down -6
.....................8+-6
....................... 2-> reminder

f%28x%29 in the form f%28x%29+=ax%2B+b+%2B+c%2F%28x-2%29 is
f%28x%29+=+2x%2B4%2B2%2F%28x-2%29