Question

How could you use Descartes' rule and the Fundamental Theorem of Algebra to predict the number of complex roots to a polynomial as well as find the number of possible positive and negative real roots to a polynomial?

Your response must include:

A summary of Descartes' rule and the Fundamental Theorem of Algebra. This must be in your own words.
Two examples of the process
Provide two polynomials and predict the number of complex roots for each.
You must explain how you found the number of complex roots for each.
At least 100 words in complete sentences with appropriate grammar

Answer 1

I just need some guidancce

Answer 2

http://www.youtube.com/watch?v=5YAmwfT3Esc

Answer 3

Do you understand descartes' rule of signs? It helps you find the number of possible positive and negative zeroes in a polynomial, by looking at the changes in sign.

Answer 4

Once you know the possible pos/neg zeroes, you can find the number of possible complex roots.

Answer 5

I mostly understand it. I'm watching a video about it on youtube right now

Answer 6

Alright so I'm just going to explain it and then the fundamental theorem and then show examples? I'm terrible at explaining things so this sucks.

Answer 7

Yeah, just explain it in your own words (fundamental theorem tells you that the number of zeroes is equal to the degree of the polynomial, ie the highest power on x). Then give examples. I'll post some examples when i get a chance later.

Answer 8

Thank you so much!

Answer 9

You're welcome! I should be back in 7-8 hours.

Answer 10

Such a long time from now

Answer 11

Hey, yeah sorry I was busy working at school, got home late, and then never got a chance to come back online!