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Mathematics 20 Online
OpenStudy (anonymous):

Factor completely: 10x^5 + 4x^4 + 8x^3

OpenStudy (anonymous):

If you notice that all three terms have a common factor, it makes this problem much simpler.

OpenStudy (anonymous):

2x^3(5x^2 + 2x + 4) is this the answer then ?

OpenStudy (cwrw238):

find the gcf = 2x^3 divide each term by this to get factor in parentheses

OpenStudy (cwrw238):

yea

OpenStudy (anonymous):

okay thank you

OpenStudy (cwrw238):

yw

OpenStudy (anonymous):

Very good =) That's the first step. Can it be factored further? Not sure yet.

OpenStudy (cwrw238):

i was wondering that too - don't think so

OpenStudy (anonymous):

So you can try factoring it further, but this one is hard to tell without some work whether or not it is factorable. What I did is just used the quadratic formula on it. It has two complex roots, which means it's not factorable.

OpenStudy (anonymous):

And if you get real rational roots, then you can write factors from those.

OpenStudy (anonymous):

so i was wrong?

OpenStudy (anonymous):

Haha no you nailed it. Just know that even though that is your first step, sometimes you will be able to factor it further.

OpenStudy (anonymous):

ohh, okay thanks(:

OpenStudy (cwrw238):

yw

OpenStudy (anonymous):

My pleasure! =D

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