>>>I plan to post the answers to these on monday.
>>>
>>>
>>>1) Can the following expression be simplified?
>>>
>>>

>>>(x-a)(x-b)(x-c)...(x-z)
>>>

>>>
>>>Only basic algebra is required.
>>
>>It could be converted to following:
>>
>>X^26 - a*X^25 + a*b*X^24 - ....... - a*b*c*...*y*X^1 + a*b*c*...*y*z
>>
>
>>That seems does not look like a simpified version, because this version is worse for programming (more operations and more risk of overflow).
>>
>
>He-he :) X is a letter too :)

ROFL ;)