ATAR Notes: Forum
VCE Stuff => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematics => Topic started by: Obama on November 09, 2008, 02:32:12 pm
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Hey im new
1)Let f(x) be a monic polynomial* with integer coefficients with deg f(x) > 1. Prove that if the sum of all coefficients and the product of all the complex zeros (counting multiplicity) are both odd then the polynomial has not integer zeros.
*)Leading term is 1.
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f(x) = (x-1)(x-5) =x3 - 9x2 + 23x - 15
The sum of the zeros is 9, the product of the zeros is 15, and all three zeros are integers.
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f(x) = (x-1)(x-5) =x3 - 9x2 + 23x - 15
The sum of the zeros is 9, the product of the zeros is 15, and all three zeros are integers.
Hi Ahmad?
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Nah its me khalid :) Ahmad has his own account.
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Moved to the general Mathematics board. In the future, please be more considerate to Maths Methods students, who have their exam either tomorrow or the day after, and may panic about material they have never heard of.
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wtf khalid. not this again.
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Also, the hostname on Obama is jupiter.tmzproxy3.com and Roflmao's post comes 4 minutes after. Why do you enjoy answering your own questions?
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He likes being smart.
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He likes being smart.
Heheh i am smart but i abuse it
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http://www.mathhelpforum.com/math-help/problem-week/29000-problem-46-a.html
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http://www.mathhelpforum.com/math-help/problem-week/29000-problem-46-a.html
lol