How can I factorize the expression below:
\[x^5 - 2x^4 + x^3 - 4x^2 + 5x - 2\]
Factoization
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Raiyan Jamil
- Posts:138
- Joined:Fri Mar 29, 2013 3:49 pm
A smile is the best way to get through a tough situation, even if it's a fake smile.
Re: Factoization
This is Rajshahi,2014,Junior,P6.There the question was:$n^{5}-2n^{4}+n^{3}-4n^{2}+5n-2=0$,where $n$ is prime.$3n=?$
If you couldn't solve it,see the solution below:
You can't factorize it.Actually,you have no need to factorize it.Write the equation like this:$n^{5}+n^{3}+5n=2n^{4}+4n^{2}+2$.If,$n$ is a odd prime,then,the left hand side will be odd.But the right hand side is always even.So,$n$ must be even.There is only one even prime $2$.So,$n=2$,$3n=6$.
If you couldn't solve it,see the solution below:
You can't factorize it.Actually,you have no need to factorize it.Write the equation like this:$n^{5}+n^{3}+5n=2n^{4}+4n^{2}+2$.If,$n$ is a odd prime,then,the left hand side will be odd.But the right hand side is always even.So,$n$ must be even.There is only one even prime $2$.So,$n=2$,$3n=6$.
"Questions we can't answer are far better than answers we can't question"
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Raiyan Jamil
- Posts:138
- Joined:Fri Mar 29, 2013 3:49 pm
Re: Factoization
Yes, I know that. But this isn't my question. I just wanted to know how I can factorize the expression.
A smile is the best way to get through a tough situation, even if it's a fake smile.