Hello everyone, is anyone interested in helping me solve a polynomial equation?
(Link below is an screenshot of the question)
http://prntscr.com/88wws6

- Lynienicole

- chestercat

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- anonymous

ill help

- anonymous

r u there girl

- Lynienicole

Your help would be much appreciated! :) I'm stuck on question 2

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

ok

- anonymous

let me see

- anonymous

im here

- anonymous

u know whats important

- Lynienicole

Important regarding to the question? Would be the polynomial, correct?

- Lynienicole

Are you still available to help?

- anonymous

yes

- anonymous

hello r u there

- Lynienicole

I am still here, do you understand question 2 ? I'm totally confused on how to use the fundamental theorem and Descartes' rules.

- amistre64

define the thrm and the rule

- Lynienicole

The fundamental theorem of algebra states that every polynomial equation over the field of complex numbers of degree higher than one has a complex solution. Polynomials of the form , with a, b,... coefficients real or complex, can be factored completely into where the r, s,... are complex numbers.
In mathematics, Descartes' rule of signs, first described by René Descartes in his work La Géométrie, is a technique for determining an upper bound on the number of positive or negative real roots of a polynomial

- amistre64

hmm, is that the thrm from your material, or from the internet? just curious

- amistre64

the form i am used to is that the degree of a polynomial defines the number of possible real zeros. an nth degree polynomial therefore has at most n real roots.

- Lynienicole

Google definition. My Teacher/Professor never explained what it was..

- amistre64

ah, google definitions are not always the simplest constructions

- Lynienicole

Aha, very true.

- amistre64

https://www.mathsisfun.com/algebra/fundamental-theorem-algebra.html
this seems like a much simpler and easier to read description of it

- amistre64

an nth degree poly has n complex roots.
but real roots are complex roots of the form: r + 0i

- amistre64

so accounting for complex roots; the degree of a polynomial tells us that a poly has at most, n real roots for some nth degree.
does this make sense?

- Lynienicole

I read over the link, and it makes my thinking a lot clearer aha. So basically, for question 2. I create a graph using those two functions, and explain how it matches the "construction foreman"?

- amistre64

use the thrm and the sign rule to show to the foreman that your graph meets the requirements yes

- amistre64

you have an x^3 poly ... 3rd degree, and we have 3 real roots right? so the thrm holds

- amistre64

the sign rule just tells us the possible number of positive and negative roots and its a little complicated depending on your abilities.
let x be some positive number; a
then count the number of times the 'operations' change from + to - and back again
that gives us the number of possible positive roots
----------------
then let x be some negative number; -a and do the same process to determine the number of possible negative roots

- amistre64

for simplicity, i just use 1 and -1 for x instead of a and -a

- Lynienicole

Thank you so much! Your help was greatly appreciated. :)

- amistre64

your welcome, and good luck

Looking for something else?

Not the answer you are looking for? Search for more explanations.