Help me ;~;
\[\frac{ 2x^2-6x-8 }{ x^2-1 }\]
I’m really confused.
Ah I see. So with these, you factor one at a time. Let's start with \(2x^2 - 6x - 8\)
With this one, you have to look to see what is common to each factor first and then factor that out. Do you see?
ac I have set a \[-4\] BTW
What we're trying to do is figure out what factor is common to the 2, 6, and 8. Only one number is common to each.
2
Very good, so you'll have to factor that out first.
I divided instead of subtracting.. I’m a idiot e.e
a=1 b=-4 c=-6 ac=-6
Well .... actually, when you factor out a number you do DIVIDE.
...
You divide the coefficient of each term by 2
a=1 b=-3 c=-4 ac=-4
Here's how to write it when you have factored out the 2: \(2(x^2 - 3x - 4)\) But what you have written above is correct. We still now need to factor \(x^2 - 3x - 4\)
Check chat..
I know my numbers are -4 and 1 -4+1=-3 -4*1=-4
Very good.
\[x^2-(4+1)-4\]
don't forget the x after the parentheses
Ima kill myself *^* \[x^2-(4+1)x-4\]
Very good. So you know what to do next :D
Distribution. :0
\[x^2+4x-1x-4\]
Very good. Now there are two ways to proceed from here. You could go ahead and factor by grouping which is what I would rather you do at this point. Go ahead and try.
x(4)-(x+4)
Remember, if you have factored correctly, what remains in parenthesis are two binomials that will be the same expression.
x(4)- x(4)
Well, just to clarify, what you wrote the first time was almost correct. Now it is way off.
I will be back on tomorrow morning or so, roughly in 12 hours, I gotta do dishes and shower, sorry to cut it short, thank you so much!
Great...
Good luck.
Okay... so I screwed it up.
x(4)-(x+4)
But that's the same thing you wrote 9 replies ago.
Yep, reposted so I could try and find a different way to make it correct.
Just look back at the previous step before that step and think logically about what you are actually factoring out and what should remain afterwards.
(x+4)(x+4)
Well ... I know. It's a bit confusing for you, but you were supposed to factor out x from the first two terms and factor out -1 from the last two terms doing so, you would have this: x(x+4) - 1(x + 4)
You’re right, that is very confusing.
Now you should be able to finish from there.
Well, let me do some tricks to help you understand better.
\(\color\red{x}^2+4\color\red{x}\color\green{-}x\color\green{-}4\)
Hopefully you can see red and green to highlight what is common to each pair of binomial terms
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