Impromptu_DTour

04-23-10, 11:24 PM

I understand that the term (Math does not = ADD) is not true, and since im not getting this.. i figured "WHY not.. ask on the Forum.", hope this makes sense to someone out there ;)

im about 1/3 the way through this course.. and im doing it online.. and i *laughing* really shouldnt have done it online.. LOL!!

im having an issue with Multiplicities. Its rudimentary stuff i know.. but my issue is not with identifying the Multiplicities and their Occurances..

Nor is it identifying what the behaviors of those occurances of the value of X is..

Its identifying what is the "largest" value of X, vs. the "smallest" value of x

kind of embarassing, as i seem to get the other parts of this concept just fine.. and the part that im not getting doesnt seem to apply directly to the matter at hand at all.. but oh well.. fml i guess. LOL!!

OK. so for instance..

f(x) = 10x^7 - 25x^5 - x^9

i get that i start by factoring out -x^5

f(x) = -x^5 (x^4 -10x^2 + 25)

(though im not sure why that changes the sign infront of the 10 when i rearrange, but ive kind of accepted that it does.. does factoring out the negative sign flip ALL the signs? - anyway .. thats not my main issue.. ONWARD!!)

so ive factored out -x^5

f(x) = -x^5 (x^4 - 10x^2 + 25)

and factor further:

f(x) = -x^5 (x-5)^2 = 0

OK.. so now i have 3 multiplicities of X..

5, 2, and 1.

my issue is decifering which one is the Largest, etc.. i would imagine that 0 would be the largest x-intercept... even if it only has 1 occurrence.. and (x-5) would be the smallest.. (x minus 5... *shrug* makes sense), and has 2 occurrences.. and -x would be the other X.. with 5 occurrences.

Buuutt... im wrong. Why? This becomes an issue for me, because when i need to decide if my graph is just going to cross the x axis .. or if its just going to touch it and turn back.. grrr

its so obtusely obvious im sure.. but Double You Tee Eff people?

=)

I_DTour

im about 1/3 the way through this course.. and im doing it online.. and i *laughing* really shouldnt have done it online.. LOL!!

im having an issue with Multiplicities. Its rudimentary stuff i know.. but my issue is not with identifying the Multiplicities and their Occurances..

Nor is it identifying what the behaviors of those occurances of the value of X is..

Its identifying what is the "largest" value of X, vs. the "smallest" value of x

kind of embarassing, as i seem to get the other parts of this concept just fine.. and the part that im not getting doesnt seem to apply directly to the matter at hand at all.. but oh well.. fml i guess. LOL!!

OK. so for instance..

f(x) = 10x^7 - 25x^5 - x^9

i get that i start by factoring out -x^5

f(x) = -x^5 (x^4 -10x^2 + 25)

(though im not sure why that changes the sign infront of the 10 when i rearrange, but ive kind of accepted that it does.. does factoring out the negative sign flip ALL the signs? - anyway .. thats not my main issue.. ONWARD!!)

so ive factored out -x^5

f(x) = -x^5 (x^4 - 10x^2 + 25)

and factor further:

f(x) = -x^5 (x-5)^2 = 0

OK.. so now i have 3 multiplicities of X..

5, 2, and 1.

my issue is decifering which one is the Largest, etc.. i would imagine that 0 would be the largest x-intercept... even if it only has 1 occurrence.. and (x-5) would be the smallest.. (x minus 5... *shrug* makes sense), and has 2 occurrences.. and -x would be the other X.. with 5 occurrences.

Buuutt... im wrong. Why? This becomes an issue for me, because when i need to decide if my graph is just going to cross the x axis .. or if its just going to touch it and turn back.. grrr

its so obtusely obvious im sure.. but Double You Tee Eff people?

=)

I_DTour