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pre-calculus help

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I need help for on my pre-calculus homework. It says "Rewrite the rational function as the sum of a polynomial and a rational function whose numerator has a smaller degree than it's denominator.(Remember, a polynomial can be a constant.)" The function is f(x)=(x^3-1)/x-2). Thanks!

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42, the answer is 42.

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42, the answer is 42.

thanks.

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Use synthetic division

2| 1 0 0 -1

_______

    1 2 4 7

 

x^2 + 2x + 4 + 7/(x-2)

 

I'm pretty sure this i sthe solution. 

edit: crap changed the numbers

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Use synthetic division

2| 1 0 0 -1

_______

    1 2 4 7

 

x^2 + 2x + 4 + 7/(x-2)

 

I'm pretty sure this i sthe solution. 

edit: crap changed the numbers

ooooh I see now. I got the idea, its okay if the numbers are wrong. Thanks! 

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In dentistrycalculus or tartar is a form of hardened dental plaque. It is caused by the continual accumulation of minerals from saliva on plaque on the teeth. Its rough surface provides an ideal medium for further plaque formation, threatening the health of the gingiva (gums).


Brushing and flossing can remove plaque from which calculus forms; however, once formed, it is too hard and firmly attached to be removed with a toothbrush. Calculus buildup can be removed with ultrasonic tools or unique hand instruments (such as a periodontal scaler).


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