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OpenStudy (anonymous):
Factor by grouping.. I need help refreashing my memory. 3x^3-x^2+18x-6
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OpenStudy (anonymous):
Well I can't help but notice that \(3\cdot 6 = 18\)
So my guess is you'll want to start with something like:
\[(3x^3 + 18x) - (x^2 + 6)\]
OpenStudy (anonymous):
ok now im still alittle confused on the next step
OpenStudy (anonymous):
Factor out a 3 from the terms in the first set of parens.
OpenStudy (anonymous):
3(x^3+18x)
OpenStudy (anonymous):
You have to factor it out of both terms.
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OpenStudy (anonymous):
3(x^3+6x)
OpenStudy (anonymous):
Now factor an x out also.
OpenStudy (anonymous):
3x(x^2+6)
OpenStudy (anonymous):
Ok so now you have \[3x(x^2 + 6) - (x^2 + 6)\]
OpenStudy (anonymous):
So factor an \((x^2 + 6)\) from each term in your difference.
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OpenStudy (anonymous):
answer is 3x(x^2+6)
OpenStudy (anonymous):
no
OpenStudy (anonymous):
sorry
OpenStudy (anonymous):
Im unsure
OpenStudy (anonymous):
Lets say you have:
3xa - a
How would you factor out an a from each of those?
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OpenStudy (anonymous):
Im not sure
OpenStudy (anonymous):
How did you factor an x from x^3 + 6x ?
OpenStudy (anonymous):
use synthetic division
OpenStudy (anonymous):
is my answer 3x(X^2+6)^2
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