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Mathematics 29 Online
OpenStudy (henrietepurina):

Can someone help... 2 algebra questions :) medal + fan

OpenStudy (henrietepurina):

Sorry Im back

OpenStudy (henrietepurina):

OpenStudy (henrietepurina):

the first one :)

OpenStudy (anonymous):

multiply them together, and see which one you get the rest of the question about "closure" is idiotic

OpenStudy (perl):

thats correct , closure under an operation means if a, b are in the set, then a*b is in the set

OpenStudy (henrietepurina):

mkay... then is it C

OpenStudy (anonymous):

natural numbers are not closed under subtraction, but \(12-3=9\) it demonstrates nothing

OpenStudy (henrietepurina):

I know its either C or D

OpenStudy (henrietepurina):

amirite?

OpenStudy (perl):

polynomials are 'closed' under multiplication , (not under division)

OpenStudy (perl):

the point of this exercise is to show that when two polynomials are multiplied, you get another polynomial .

OpenStudy (anonymous):

the fact that any two specific polynomials when multiplied together give another polynomial demonstrates nothing at all

OpenStudy (perl):

it gives you evidence that it may be closed

OpenStudy (perl):

to prove that it is closed you have to show that any two polynomials , when multiplied, produce another polynomial

OpenStudy (perl):

given any two*

OpenStudy (anonymous):

in any case, it is not C or D

OpenStudy (henrietepurina):

NONONO... its A

OpenStudy (henrietepurina):

because 6*8=48 amirite?

OpenStudy (anonymous):

yes

OpenStudy (henrietepurina):

aaand,,, it is a polynomial...

OpenStudy (henrietepurina):

thanks guys... do you want to help on another?

OpenStudy (perl):

for example 2 and 3 are positive integers, and 2*3 is a positive integer. this demonstrates closure under multiplication for positive integers

OpenStudy (henrietepurina):

thanks :)

OpenStudy (henrietepurina):

you are really good at this... teacher? student?

OpenStudy (perl):

secret

OpenStudy (henrietepurina):

hmmm... alright :) do you want to help on another?

OpenStudy (perl):

so here is a fun problem, show that polynomials are not closed under division

OpenStudy (perl):

so here you can do a counterexample.

OpenStudy (henrietepurina):

can you help?

OpenStudy (perl):

Let your first polynomial be 1, and you second polynomial be x. But 1/x is not a polynomial

OpenStudy (perl):

so here area = base x height

OpenStudy (perl):

(2x-4)(x+5)

OpenStudy (henrietepurina):

ok... gimme a sec

OpenStudy (perl):

|dw:1413516389804:dw|

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