Question

Partial Fraction Decomposition (Shown Below)

Answer 1

\[\frac{ x+6 }{x ^{3} -3x ^{2}-4x+12}\]

Answer 2

@UnkleRhaukus can you help with only the first part

Answer 3

so you want to factorize the denominator

Answer 4

im still trying to figure out the quadratic part like bx+c

Answer 5

\[\frac{ a }{ x-3 }+\frac{ bx+c }{ x ^{2}-4 }\]

Answer 6

maybe?

Answer 7

yeah that looks right,

(im not sure how you got those factors but they are correct

Answer 8

so that is the correct use of bx+c, does it ever go like bx-c?

Answer 9

if you had -c,

would would just find a different values for c

it wouldn't make any difference in the end

Answer 10

oh ok thanks again