Mathematics
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OpenStudy (vera_ewing):
What is the restriction on the product?
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OpenStudy (vera_ewing):
\[\frac{ x^2+3x+2 }{ x^2-2x-3 } * \frac{ x^2+4x+3 }{ x+2 }\]
OpenStudy (vera_ewing):
@perl
OpenStudy (perl):
the restrictions are x such that the denominator becomes zero
OpenStudy (vera_ewing):
So x ≠ -2 would be the answer?
OpenStudy (perl):
you cant have x values which cause the denominator to equal to zero (since division by zero is undefined)
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OpenStudy (perl):
i would start by factoring the denominator
OpenStudy (perl):
yes that is one restriction, x cannot equal to -2
OpenStudy (vera_ewing):
@iambatman Is x ≠ -2 the only answer to this question?
OpenStudy (anonymous):
Idk what did you get when you simplified it?
OpenStudy (vera_ewing):
I haven't simplified it yet....
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OpenStudy (anonymous):
But yes, x = -2 I see
OpenStudy (anonymous):
cannot
OpenStudy (vera_ewing):
Hold on while I simplify it...
OpenStudy (anonymous):
Ah I see what it cannot be :), lets see if you can figure it out!
OpenStudy (vera_ewing):
I got (x+1)(x+3)/(x-3)
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OpenStudy (anonymous):
\[\frac{ stuff }{ (x+1)(x-3)(x+2) }\]
OpenStudy (vera_ewing):
These are my answer choices:
A. x ≠ -3
B. x ≠ 3
C. x ≠ 1
D. x ≠ -2
I think the answer is D...
OpenStudy (vera_ewing):
Am I right? @iambatman
OpenStudy (anonymous):
Can you pick more than 1?
OpenStudy (vera_ewing):
No I can only choose one.
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OpenStudy (anonymous):
That's weird. Yes x cannot = -2.
OpenStudy (vera_ewing):
Ok so the answer is D?
OpenStudy (anonymous):
Ah I see, x cannot = - 1 is the other :)
OpenStudy (anonymous):
Yes, D is good!
OpenStudy (vera_ewing):
Thank you :)