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Spesh prob

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unknown id:
could someone please confirm the following question:

Express in partial form:

?

Thanks

Ahmad:
Hint:

Collin Li:
It's not on the course. You are only expected to break up linear factors. It's such a MHS thing to do (rolls eyes).

unknown id:
lol i guess it is but its good to be in the know

Four:
This is from the coordinate geometry worksheet at MHS, right?

Anyway, the only 'trick' here is that you have to realise that and use DOPS from there. Then you can split it up into partial fractions, keeping in mind that if the denominator is an unfactorisable second degree polynomial then the numerator has to be in the form Ax + B.

The next part can be solved a number of ways. I sub’d in complex values of x (solving for appropriate values of x to sub in) to eliminate variables and then used simultaneous equations to solve for each individual variable; though equating polynomials might have been easier, it would have involved expanding each bracket.

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