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Mathematics 10 Online
OpenStudy (anonymous):

Factor 360t + 10t ^3 - 120t ^2.

OpenStudy (anonymous):

First, let me rewrite it to make sure I understand... \(\huge{360t + 10t^3 - 120t^2}\) Is there supposed to be an exponent on the first term?

OpenStudy (anonymous):

360t + 10t³ - 120t² 10t(36 + t² - 12t) 10t(t² - 12t + 36) 10t(t - 6)²

OpenStudy (anonymous):

the equation is correct

OpenStudy (anonymous):

Would you like me to explain xoya's answer?

OpenStudy (anonymous):

LOL

OpenStudy (anonymous):

lolollooollololololololololololololo ok

OpenStudy (anonymous):

It's just you have to take common first Here 10t is common :D

OpenStudy (anonymous):

First step is to factor out the largest common term you can find. It keeps the numbers smaller and easier to work with.

OpenStudy (anonymous):

Lol xD

OpenStudy (anonymous):

@xoya, you are laughing, but in my experience, students learn better when they have to do the work themselves.

OpenStudy (anonymous):

i can laugh like mr.crabs argh argh argh argh argh

OpenStudy (anonymous):

I'm not familiar with mr. crabs - is that an evil laugh??? or a pirate laugh???

OpenStudy (anonymous):

its a pirate laugh off of spongebob

OpenStudy (anonymous):

Cute. :-) On a more serious note...do you understand how to factor?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

\(\huge{360t + 10t^3 - 120t^2}\) My first step would be to rewrite the expression in descending order like this: \(\huge{10t^3 - 120t^2+360t}\) Simply because I like routine.

OpenStudy (anonymous):

And consistency.

OpenStudy (anonymous):

FRom there, factor out the largest common term you can find. The largest factor cannot be larger than the smallest coefficient, so start with 10.

OpenStudy (anonymous):

im sorry my head hurts too much im taking a break

OpenStudy (anonymous):

That will leave you with: \(\huge{10t(t^2-12t+36)}\) From there, you need to factor the trinomial.

OpenStudy (anonymous):

Here is a good resource for when you return: http://www.mathwarehouse.com/algebra/factor/how-to-factor-trinomials-step-by-step.php

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