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Mathematics 12 Online
OpenStudy (howard-wolowitz):

If you help me I'll.......

OpenStudy (howard-wolowitz):

Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and the leading coefficient. If the function is not a polynomial, state why.

OpenStudy (howard-wolowitz):

OpenStudy (howard-wolowitz):

This is a polynomial function of degree 12 with a leading coefficient of 2. This is not a polynomial function as the factors are not all linear. This is not a polynomial function because the leading coefficient is negative. This is a polynomial function of degree 12 with a leading coefficient of -2.

OpenStudy (howard-wolowitz):

HELP MEEEEEEEE

OpenStudy (anonymous):

ok what does the degree of a polynomial mean?

OpenStudy (anonymous):

its the variable with the highest exponent on it.

OpenStudy (howard-wolowitz):

hey thxs for helping me

OpenStudy (anonymous):

It is a polynomial function

OpenStudy (howard-wolowitz):

@manumben

OpenStudy (howard-wolowitz):

which dou think? a or d?

OpenStudy (howard-wolowitz):

a

OpenStudy (anonymous):

you tell me, for the leading coefficient we would have (x)^3*(x^2)^2 * (-x^4)(2x)

OpenStudy (howard-wolowitz):

A then!

OpenStudy (anonymous):

whats (-1)(x^4)*2

OpenStudy (howard-wolowitz):

2

OpenStudy (howard-wolowitz):

@manumben

OpenStudy (howard-wolowitz):

@manumben

OpenStudy (howard-wolowitz):

@AdamK

OpenStudy (howard-wolowitz):

@phi

OpenStudy (howard-wolowitz):

@perl

OpenStudy (howard-wolowitz):

@texaschic101

OpenStudy (howard-wolowitz):

Hi phi!

OpenStudy (phi):

what have you figured out so far ?

OpenStudy (howard-wolowitz):

Well I am 99% sure its A

OpenStudy (howard-wolowitz):

I worked it all out and had some help

OpenStudy (howard-wolowitz):

I know that it has to be the highest coefficient

OpenStudy (phi):

it is definitely a polynomial but its coefficient on the highest term is not 2

OpenStudy (howard-wolowitz):

oh well that other person siad it was so i was going off that.

OpenStudy (phi):

you can write (1-x^4) as -1 * (x^4 - 1) and write the -1 "out front" -1 * stuff the stuff will be positive (because all the x's are +) and then the -1 will make it negative.

OpenStudy (howard-wolowitz):

ok i gotcha

OpenStudy (phi):

you will always get 1*x (to some power) from all the terms except the (2x+1) that will give you a 2 and the -1 we put out front will make it -2

OpenStudy (howard-wolowitz):

and thats what makes the leading term -2 right?

OpenStudy (phi):

yes.

OpenStudy (phi):

can you answer this now ?

OpenStudy (howard-wolowitz):

yes its D

OpenStudy (howard-wolowitz):

WEll thxs!

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