INTERMEDIATE ALGEBRA

[Gail Price]

If you have an arbitrary polynomial P(x) of the n’th degree in x, and you graph the equation y = P(x), describe the overall shape of this graph. What happens when x gets large in the positive and negative directions, and how many peaks and valleys does the graph have? How many times does the graph cross the x-axis? (To simplify, let the sign of the highest power term in P(x) be positive.)

 

[alesia]

:roll: need help

 

[Aladdin]

:roll: need help

C'mon alesia !?

Need help in what ?

 

[garf]

why don't you follow this link http://www.wtamu.edu/academic/anns/mps/ ... olyfun.htm

 

[Gail Price]

I tried that I have looked every where for help. I do not understand the problem and in order to do the problem you need to understand it. When I see a problem done then I can figure out most of the time how to work it. But first I need a start. can you or anyone else help?

 

[daon]

There is no definitive answer to some of these questions. For example, a 10th degree polynomial with + leading coefficient may have 1 or even 5 "valleys." A 273rd degree polynomial may have NO turning points at all!

Odd-degree polynomials with positive leading coefficient will go to infinity as x does, -infinity as x does. Even degree's go to infinity in both directions.

The rest depends on the specific polynomial you are working with and not just its degree.

 

[Gail Price]

Find a positive integer smaller than 500 that has a remainder of 3 when divided by 5, a remainder of 6 when divided by 9, and a remainder of 8 when divided by 11.

 

[Denis]

393

 

[mmm4444bot]

?

I do not understand the problem

Can you be more specific ?

?