SOLUTION: Hello, I have NO idea how to solve something like this: {{{x^4+x^3+2x^2 + 1}}} I've tried the rational root theorem, graphing/location principal, long and synthetic division...

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello, I have NO idea how to solve something like this: {{{x^4+x^3+2x^2 + 1}}} I've tried the rational root theorem, graphing/location principal, long and synthetic division...       Log On


   



Question 1051996: Hello,
I have NO idea how to solve something like this:
x%5E4%2Bx%5E3%2B2x%5E2+%2B+1
I've tried the rational root theorem, graphing/location principal, long and synthetic division... nothing seems to work.
Is it even possible?
I tried using WolframAlpha and it gave me the craziest output. Thank you so much.

Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
.




1.  What do you mean saying "solve" ?

    What you wrote in the post is not an equation.


2.  Look in the plots. Obviuosly, the polynomial is always positive and has not real roots.


3.  For the proof, check for the minimum.

    Take a derivative and equate it to zero.
    You will find that the only minimum is at x = 0, and this minimum is 1.


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I have NO idea how to solve something like this:
x%5E4%2Bx%5E3%2B2x%5E2+%2B+1
I've tried the rational root theorem, graphing/location principal, long and synthetic division... nothing seems to work.
Is it even possible?
=============
1st, it's not an equation, so there's nothing to solve.
---
If it's = zero, there are no real solutions.
What did Wolfram give you?