Mathematics
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OpenStudy (henrietepurina):
Can someone help... 2 algebra questions :)
medal + fan
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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
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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)
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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*
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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...
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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
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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
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OpenStudy (perl):
so here area = base x height
OpenStudy (perl):
(2x-4)(x+5)
OpenStudy (henrietepurina):
ok... gimme a sec
OpenStudy (perl):
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