Partial fractions

[worn finch]

How would I get the term for A?
I thought you could only get 2 terms in fractions as there are only 2 for below the fraction

[hasty heath]

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[mint glacier]

Partial fractions must be done for proper fractions. Yours isn't proper.

[worn finch]

How would I make it proper?

[mint glacier]

Divide the polynomials first.

[worn finch]

Ohhhh I see

[mint glacier]

Basically, when integrating rational functions, you need to make sure your function is a proper fraction. If not, then divide first.

The remainder will always be a proper fraction, and you can use partial fractions on it.

[worn finch]

Like this?

@mint glacier

[mint glacier]

Uh, no. I'm not even sure what you did.

You need to divide 2x^2 - 2x - 9 by x^2 + x - 2.

[worn finch]

Oh

I just divided it by (1-x) and (2+x) then added them together

Wouldn't that just be the same output?

@mint glacier

[mint glacier]

No.

[worn finch]

Oh.

Alr then

[hasty heath]

@worn finch

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