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Mathematics 15 Online
OpenStudy (anonymous):

Factor by grouping.. I need help refreashing my memory. 3x^3-x^2+18x-6

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.

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.

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?

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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