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Mathematics 9 Online
OpenStudy (g33k):

i needed to edit this question :p

OpenStudy (bibby):

can you find the GCF of 6x^2 and 4x

OpenStudy (g33k):

What does GCF stand for?

OpenStudy (bibby):

greatest common factor

OpenStudy (dangerousjesse):

Remember what I showed you earlier? I went through all of the factors, starting with one, until I found the right one? You have to find the GCF the same way. What is the lowest factor that they share that isn't 1?

OpenStudy (dangerousjesse):

Meaning what is the lowest number by which both 6x and 4x can be divided?

OpenStudy (dangerousjesse):

Yes, and is that also the highest?

OpenStudy (dangerousjesse):

I think I done goofed. Forgot there was an exponent.

OpenStudy (dangerousjesse):

I. Am. Such. An. Idiot.

jimthompson5910 (jim_thompson5910):

Step 1) Factor 6x^2 into 2*3*x*x Step 2) Factor 4x into 2*2*x Notice how we have \(\Large \color{red}{2}\) and \(\Large \color{blue}{x}\) in common \[\Large 6x^2 = \color{red}{2}*3*x*\color{blue}{x}\] \[\Large 4x = \color{red}{2}*2*\color{blue}{x}\] multiply out \(\Large \color{red}{2}\) and \(\Large \color{blue}{x}\) to get 2*x = 2x So the GCF of 6x^2 and 4x is 2x

OpenStudy (dangerousjesse):

I'm embarrassed as heck. I'm too tired to brain this properly.. I'm so sorry haha.

jimthompson5910 (jim_thompson5910):

then as @DangerousJesse is saying, we can divide each term by 2x 6x^2 divided by 2x = \(\Large \color{red}{3x}\) 4x divided by 2x = \(\Large \color{blue}{2}\) so that's why \[\Large 6x^2 + 4x = 2x(\color{red}{3x}+\color{blue}{2})\]

jimthompson5910 (jim_thompson5910):

you can distribute to check 2x*(3x+2) = 2x*3x + 2x*2 = 6x^2 + 4x

OpenStudy (shadowlegendx):

@DangerousJesse Donʻt worry, happens to all of thus. Except @jim_thompson5910 heʻs a robot programmed to be perfect :)

OpenStudy (shadowlegendx):

See? thus --> us

OpenStudy (bibby):

sorry, I was tabbed out

OpenStudy (shadowlegendx):

Corn documentary?

OpenStudy (dangerousjesse):

Corn: Behind the Scenes, I believe

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