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HelpMe94

  • 2 years ago

Partial Fraction Decomposition (Shown Below)

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  1. HelpMe94
    • 2 years ago
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    \[\frac{ x+6 }{x ^{3} -3x ^{2}-4x+12}\]

  2. HelpMe94
    • 2 years ago
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    @UnkleRhaukus can you help with only the first part

  3. UnkleRhaukus
    • 2 years ago
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    so you want to factorize the denominator

  4. HelpMe94
    • 2 years ago
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    im still trying to figure out the quadratic part like bx+c

  5. HelpMe94
    • 2 years ago
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    \[\frac{ a }{ x-3 }+\frac{ bx+c }{ x ^{2}-4 }\]

  6. HelpMe94
    • 2 years ago
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    maybe?

  7. UnkleRhaukus
    • 2 years ago
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    yeah that looks right, (im not sure how you got those factors but they are correct

  8. HelpMe94
    • 2 years ago
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    so that is the correct use of bx+c, does it ever go like bx-c?

  9. UnkleRhaukus
    • 2 years ago
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    if you had -c, would would just find a different values for c it wouldn't make any difference in the end

  10. HelpMe94
    • 2 years ago
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    oh ok thanks again

  11. UnkleRhaukus
    • 2 years ago
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