HelpMe94 2 years ago Partial Fraction Decomposition (Shown Below)

1. HelpMe94

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

2. HelpMe94

@UnkleRhaukus can you help with only the first part

3. UnkleRhaukus

so you want to factorize the denominator

4. HelpMe94

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

5. HelpMe94

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

6. HelpMe94

maybe?

7. UnkleRhaukus

yeah that looks right, (im not sure how you got those factors but they are correct

8. HelpMe94

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

9. UnkleRhaukus

if you had -c, would would just find a different values for c it wouldn't make any difference in the end

10. HelpMe94

oh ok thanks again

11. UnkleRhaukus