Check my answer for a medal?
hello
hi
Factor completely 8m^3 - 12m^2 + 4m. I got 4 (2m^3 - 3m^2 + m)
well, first step, you should try factoring it out.
lets see: \(\large\color{slate}{\displaystyle \sqrt{(-3)^2-4\cdot2\cdot1}=\sqrt{9-8}=\sqrt{1}=1}\)
Oh no, this is gonna be difficult to choose who I give this medal too
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
yeah, your are not done. You can factor it more. (What I did just now, is the discriminant test)
factor out 4m instead of 4.
factor out of 4m, and even then not done
now you have 4m(2m^2-3m+1)
Alright. I got 4m (2m^2 - 3m) is this correct?
and as I demostrated with discriminant test, it is factorable
GOOD SO FAR. NOW, LAST STEP
2m^2-3m+1 => 2m^2-2m-m+1
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
ok. it's cool.
Sorry
So we are at this point: 4m(2m^2-3m+1)
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
u got dis XD
Alright. so I got (-2m+1) (-m+1)
yes, that ic correct.
YAY!!!
Pro tip. It is easier to look at when the coefficients are positive.
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. \(\large 2m^2-3m+1\) \(\large 2m^2-2m-m+1\) \(\large 2m(m-1)-m+1\) \(\large 2m(m-1)-1(m-1)\) \(\large \color{red}{2m}(m-1)+\color{red}{-1}(m-1)\) \(\large (2m-1)(m-1)\)
hint: -1 x -1 = 1
same.
nice job tho
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. \(\large 2m^2-3m+1\) \(\large 2m^2-2m-m+1\) \(\large 2m(m-1)-m+1\) \(\large 2m(m-1)-1(m-1)\) \(\large \color{red}{2m}(m-1)+\color{red}{-1}(m-1)\) \(\large (2m-1)(m-1)\)
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.
it's just easier to manage without negative coefficients... nobody likes negative XD
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)
Would I just go with that?
what are the options?
yes, because you are factoring 4m(2m^2-3m+1)
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.
Alright. Thanks guys! And Plasma, the options are 2m (4m2 - 6m + 2) 4 (2m3 - 3m2 + m) 4m (2m - 1)(m - 1) 4m (2m2 - 3m)
go with that, we never dropped the 4m.
ok, you pick one:)
yup.
all urs
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!
I do this for the pleasure of helping people. plus, solomon told me to walk people through on problems XD
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
Anyway, you welcome.
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.
So I would prefer them to walk me through them
ok:)
have a good evening
You too.
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