Stephanie K.

asked • 02/07/18

how to factor 5(x+3)^2(x-1), 6(x+2)(x-1)^4

I am trying to factor this to find a gcd

1 Expert Answer

By:

Kim Z. answered • 02/07/18

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Stephanie K.

I am trying to find the gcd for the terms 5(x+3)^2(x-1), 6(x+2)(x-1)^4  
 
could I factor out x+2 and x-1?
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02/07/18

Edward A.

as Kim Z. points out, we think the problem is typed wrong.
 
The way I read your problem, it is
5(x+3)2(x-1), 6(x+2)(x-1)4
 
but that gives no GCD.
 
perhaps you meant a different exponent
 
5(x+3)2(x-1), 6(x+2)(x-1)4
 
that would allow (x-1) to be the GCD. 
 
Why would you suggest (x+2)? Maybe because of another typo? Maybe it is supposed to be
5(x+2)2(x-1), 6(x+2)(x-1)4
if so, then yes (x+2)(x-1) would be the GCD.
 
My sympathy, I find it hard to type formulas on my phone, but if it isn’t exactly right, our guidance is based on our ability to guess what the original problem is.
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02/07/18

Stephanie K.

5(x+3)2 * (x-1), 6(x+2)(x-1)4
 
This is what I intended it to be!   It is hard to type these equations out, lol.  
 
For this particular problem, how would I find the LCM?
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02/07/18

Kim Z.

so the least common multiple would be:  30(x+3)2*(x-1)4*(x+2)  
 
Notice:  The only item not included would be the other (x-1) because it is already captured in (x-1)4
When we can't find any or many common multiples between them, we just multiply them together.  Here the only common item is the (x-1)
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02/11/18

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