The partial fraction decomposition of latex: \frac{x-9}{x^2-3x-18} x − 9 x 2 − 3 x − 18 is latex: \frac{a}{x-6}+\frac{b}{x+3} a x − 6 + b x + 3 . find the numbers latex: a\: a and latex: b b . then, find the sum latex: a+b a + b , which is a whole number. enter that whole number as your answer.

Not entirely sure what the question is supposed to say, so here's my best guess.

First, find the partial fraction decomposition of

This is equal to

Multiply both sides by , so that

Notice that if , the term involving vanishes, so that

Then if , the term with vanishes and we get

So we have

I think the final answer is supposed to be , so you end up with 1.

step-by-step explanation:

2x^2+5x+17

your welcome. : )