The population of a small town in central Florida has shown a linear decline in the years 1992-2000. In 1992 the population was
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By either long or synthetic division, it's easy to show that
The quartic will be exactly divisible by
when the numerator of the remainder term vanishes, or for those values of 
such that
I'm not sure how to count the number of solutions (software tells me it should be 80), but hopefully this is a helpful push in the right direction.
The quartic will be exactly divisible by
I'm not sure how to count the number of solutions (software tells me it should be 80), but hopefully this is a helpful push in the right direction.
For this case we must find the value of the following expression:
When:
Substituting the given values we have:
Finally, the value of the expression is 394.
Answer:
The value of the expression is 394.