polynomial
- Abdul Muntakim Rafi
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- Joined:Tue Mar 29, 2011 10:07 pm
- Location:bangladesh,the earth,milkyway,local group.
$p(7)=77,p(x)=85(x$ is greater than $7)$; what's the root of $p(n)$?
Re: polynomial
Let $q(x)=p(x)-85$. Then $q(x)=0$ for all $x>7$, i.e. $q$ has infinitely many roots. So $q$ must be the zero polynomial, which implies $p(x)=85$ for all $x$.
"Everything should be made as simple as possible, but not simpler." - Albert Einstein
- Abdul Muntakim Rafi
- Posts:173
- Joined:Tue Mar 29, 2011 10:07 pm
- Location:bangladesh,the earth,milkyway,local group.
Re: polynomial
Bhaiya, $p(x)=85$ for a certain value greater than $7$ (not just any value greater than $7$) ...
Man himself is the master of his fate...
Re: polynomial
$p(x)=11x$
$p(x)=10x+7$
$p(x)=12x-7$
$\dots$
All these polynomials satisfy your conditions, and have different roots. So I don't really know what you're asking for.
$p(x)=10x+7$
$p(x)=12x-7$
$\dots$
All these polynomials satisfy your conditions, and have different roots. So I don't really know what you're asking for.
"Everything should be made as simple as possible, but not simpler." - Albert Einstein
- nafistiham
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Re: polynomial
Are you wishing to get such a polynomial, that satisfies $77$ for $7$, and $85$ for a definite integer greater than $7$ ?
Won't there be various such polynomials ?
Won't there be various such polynomials ?
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.
- Abdul Muntakim Rafi
- Posts:173
- Joined:Tue Mar 29, 2011 10:07 pm
- Location:bangladesh,the earth,milkyway,local group.
Re: polynomial
The ques was like this-
Two guys were talking... One said hey my age is the root of a polynomial.. Seeing the polynomial equation $P(n)$ the other said your age is $7$... But he figured it was wrong cause $p(7)=77$ ... The first guy said yes u r wrong... my age is greater than $7$... Then he guessed a number greater than $7$ ... That gave him $p(x)=85$...
Now what's his age?
Two guys were talking... One said hey my age is the root of a polynomial.. Seeing the polynomial equation $P(n)$ the other said your age is $7$... But he figured it was wrong cause $p(7)=77$ ... The first guy said yes u r wrong... my age is greater than $7$... Then he guessed a number greater than $7$ ... That gave him $p(x)=85$...
Now what's his age?
Man himself is the master of his fate...