Question

Decompose (-2x-23)/(2x^2 - 9x -5) into partial fractions

Answer 1

can you factor 2x^2-9x-5 ?

Answer 2

I'm not good at factoring

Answer 3

would it be (2x+1)(x-5)

Answer 4

yes, good! So now you want to find A and B such that
\[
\huge \frac{-2x-23}{(2x+1)(x-5)}=\frac{A}{2x+1}+\frac{B}{x-5}
\]

Answer 5

How do I do that?

Answer 6

Multiply both sides by \(\big (2x+1)(x-5)\). What do we get?

Answer 7

I'm sorry lol but I don't know, I'm confused. Multiply that by what?

Answer 8

@watchmath

Answer 9

multiply each side of the equation by (2x+1)(x-5)