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October 7th, 2009, 05:15 PM   #1
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Help! I keep getting this wrong...

In general, determine the relationship between the zeros of the two polynomial equations of degree n with their coefficients reversed in order, with leading coefficient and constant coefficients both not zero. (assume the coefficients are all real numbers)
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October 7th, 2009, 05:46 PM   #2
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Re: Help! I keep getting this wrong...

What do you keep doing? Did you study any definite example pairs [with numbers, not in general] from which to find a conclusion?
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October 7th, 2009, 06:14 PM   #3
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Re: Help! I keep getting this wrong...

I know that they should be reciprocals...but i need to know why, so I need a solution and explanation...I tried using and p/q’s of the polynomial to find the zeros but that should only work to solve for integers…(I need to solve for non-integers also)one thing I brain stormed with another student...is that we only know the general shape of the graph based on exponents, whatever the relationship is going to be …stretching or shrinking of the graph based on what the coefficients will be.

Am I making any sense at all? or should I just shoot myself in the pi? Thanks for your time and any assistance...
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October 7th, 2009, 06:50 PM   #4
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Re: Help! I keep getting this wrong...

Perhaps looking at the order in which the factors are multiplied will help. It seems to me that this order is reversed. If you have (x + 1)(x - 2)(x + 4) then (x + 1)(2x - 1)(4x + 1) will give (x + 1)(x -2)(x + 4) with the coefficients reversed.
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