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Mathematics 14 Online
OpenStudy (vera_ewing):

What is the restriction on the product?

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)

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....

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)

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.

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 :)

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