Factor by grouping

College Basic Mathematics Area (Includes Algebra and Geometry)

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Factor by grouping

Postby pleasehelp » Sun May 04, 2014 1:16 am

Factor by grouping

x(to the 3rd power) + 5x(to the 2nd power) + x +5
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Re: Factor by grouping

Postby the_hill1962 » Tue May 06, 2014 9:16 am

Sorry for not replying sooner.
We usually don't help anyone that just types a problem without stating anything else. This is not a "we do your homework for you" site.
Do you know the basics of using 'grouping'?
Here is an example:
x^3 + 3x^2 - 6x - 18
This is similar to your problem but with some negatives in it. Your problem is easier.
Grouping means that you look for a couple terms with common factors. In
x^3 + 3x^2 - 6x - 18
You see that the first three terms have a common "x" but usually we do x^2 out of the first two.
Rewrite x^3 + 3x^2 as (x^2)(x+3) and notice that you can rewrite -6x-18 as
So now we have (x^2)(x+3) - 6(x+3)
Note that (x+3) is common. This is how these type of problems work out.
Factoring (x+3) from (x^2)(x+3) - 6(x+3) gives
(x+3)(x^2 - 6)
This can be hard to follow but let us know where you might be lost and we will help.
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