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Mathematics 7 Online
OpenStudy (anonymous):

Check my answer for a medal?

OpenStudy (solomonzelman):

hello

OpenStudy (plasmataco):

hi

OpenStudy (anonymous):

Factor completely 8m^3 - 12m^2 + 4m. I got 4 (2m^3 - 3m^2 + m)

OpenStudy (plasmataco):

well, first step, you should try factoring it out.

OpenStudy (solomonzelman):

lets see: \(\large\color{slate}{\displaystyle \sqrt{(-3)^2-4\cdot2\cdot1}=\sqrt{9-8}=\sqrt{1}=1}\)

OpenStudy (anonymous):

Oh no, this is gonna be difficult to choose who I give this medal too

Vocaloid (vocaloid):

you're on the right track but you're not quite done yet notice how each of the terms in the parantheses still has m, right? you can factor out m

OpenStudy (solomonzelman):

yeah, your are not done. You can factor it more. (What I did just now, is the discriminant test)

OpenStudy (plasmataco):

factor out 4m instead of 4.

OpenStudy (solomonzelman):

factor out of 4m, and even then not done

OpenStudy (plasmataco):

now you have 4m(2m^2-3m+1)

OpenStudy (anonymous):

Alright. I got 4m (2m^2 - 3m) is this correct?

OpenStudy (solomonzelman):

and as I demostrated with discriminant test, it is factorable

OpenStudy (solomonzelman):

GOOD SO FAR. NOW, LAST STEP

OpenStudy (solomonzelman):

2m^2-3m+1 => 2m^2-2m-m+1

OpenStudy (anonymous):

Alright, alright alright. Listen guys, I'm really getting overwhelmed with all of you trying to help. I appreciate you guys trying to help but I can't focus on so many people. So, I will focus on Solomon since he was the first to respond on this post. Sorry

OpenStudy (plasmataco):

ok. it's cool.

OpenStudy (anonymous):

Sorry

OpenStudy (solomonzelman):

So we are at this point: 4m(2m^2-3m+1)

OpenStudy (solomonzelman):

now, look at 2m^2-3m+1 alone. you can factor it, and I will give you a hint: re-write it as 2m^2-2m-m+1

OpenStudy (plasmataco):

u got dis XD

OpenStudy (anonymous):

Alright. so I got (-2m+1) (-m+1)

OpenStudy (solomonzelman):

yes, that ic correct.

OpenStudy (plasmataco):

YAY!!!

OpenStudy (plasmataco):

Pro tip. It is easier to look at when the coefficients are positive.

OpenStudy (solomonzelman):

You can take two negatives out..... it is a little bit strange to me the way you wrote it. What I meant to see was rather. \(\large 2m^2-3m+1\) \(\large 2m^2-2m-m+1\) \(\large 2m(m-1)-m+1\) \(\large 2m(m-1)-1(m-1)\) \(\large \color{red}{2m}(m-1)+\color{red}{-1}(m-1)\) \(\large (2m-1)(m-1)\)

OpenStudy (plasmataco):

hint: -1 x -1 = 1

OpenStudy (plasmataco):

same.

OpenStudy (plasmataco):

nice job tho

OpenStudy (solomonzelman):

You can take two negatives out..... it is a little bit strange to me the way you wrote it. What I meant to see was rather. \(\large 2m^2-3m+1\) \(\large 2m^2-2m-m+1\) \(\large 2m(m-1)-m+1\) \(\large 2m(m-1)-1(m-1)\) \(\large \color{red}{2m}(m-1)+\color{red}{-1}(m-1)\) \(\large (2m-1)(m-1)\)

OpenStudy (solomonzelman):

I mean the way you did it is perfectly fine. As long as it is correct. But I am just letting you know my point of view from the side.

OpenStudy (plasmataco):

it's just easier to manage without negative coefficients... nobody likes negative XD

OpenStudy (anonymous):

Alright, but the answer (2m-1) (m-1) isn't an option. Well, there is. But, there is a 4m in front of it. 4m(2m - 1) (m - 1)

OpenStudy (anonymous):

Would I just go with that?

OpenStudy (plasmataco):

what are the options?

OpenStudy (solomonzelman):

yes, because you are factoring 4m(2m^2-3m+1)

OpenStudy (solomonzelman):

you are not factoring just the 2m^2-3m+1 I took a look at it alone, so that we can factor it, but the 4m does't go away.

OpenStudy (anonymous):

Alright. Thanks guys! And Plasma, the options are 2m (4m2 - 6m + 2) 4 (2m3 - 3m2 + m) 4m (2m - 1)(m - 1) 4m (2m2 - 3m)

OpenStudy (plasmataco):

go with that, we never dropped the 4m.

OpenStudy (solomonzelman):

ok, you pick one:)

OpenStudy (plasmataco):

yup.

OpenStudy (plasmataco):

all urs

OpenStudy (anonymous):

Thanks guys! I appreciate the fact that you walked me through it Solomon! Sadly not a lot of people would be willing to walk me through these problems. But the ones that do are awesome!

OpenStudy (plasmataco):

I do this for the pleasure of helping people. plus, solomon told me to walk people through on problems XD

OpenStudy (solomonzelman):

I told you that? Have I? Well in my mind I was like "I hope he isn't giving out answers like many users here do" .... :) lol

OpenStudy (solomonzelman):

Anyway, you welcome.

OpenStudy (anonymous):

Yeah, I appreciate that those users just straight up give me the answer. I also want to learn how to do the problem so I won't ask for help as often.

OpenStudy (anonymous):

So I would prefer them to walk me through them

OpenStudy (solomonzelman):

ok:)

OpenStudy (solomonzelman):

have a good evening

OpenStudy (anonymous):

You too.

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