6 + 10 x + 14 x^2 what's the GCF here and is it smaller than the smallest coefficient?

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6 + 10 x + 14 x^2 what's the GCF here and is it smaller than the smallest coefficient?

Mathematics
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2 see it as GCF = 2
1,2,3,6 is the best you can get, what number do the rest have in common with this?
I'm thinking

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....think....quieter.....
It hurts....
I am not sure...why do I not get this stuff?
tell me, what are the coeeficients?
2
2 is a coefficient?
I know whatever it is is not smaller then it is, because they are equal to each other...just not sure what number
it is 6?
6 is the smallest coefficient..yes; so any factors cannot possibly be larger than 6.
Thank you so much..sorry about any trouble I caused
think of it this way: if someone wants you to give them $10 and all you have is $3; what is the most you can give them?
3
exactly; so, in this problem of yours we have some numbers that are carrying cash... the largest amount of cash that they have in common cant be greater than the "$6" number right?
right
so lets open up that "$6" dollars wallet and see what hes got in there... hes got the following bills: $1, $2, $3 , $6. the rest of the numbers have similar types of cash. but the biggest numbered bill they have in common is a $2.
I get it....that sounds simple...till you get to the way it looks in front, if they would word the things like you just did, I would be fine...
the "10" is carrying: $1, $2, $5, $10 the "14" is carrying: $1, $2, $7, $14 the only "bills" they have in common are $2 bills
Maybe you can help me with the next 2 things, do you have time?
I wish you were my teacher.....
i got at most an hour and a half :)
only 2 small questions left....
what are the different ways a quadratic polynomial can be factored out. What applies when?
and.......... x ^ 3 + 2x^2 + x = 0 Can factorization still help solve this equation ? If yes, how ?
Those are it...If you have time.
lets dooooo this!!! ... :)
thats my machoman randy savage impersonation :)
what are the different ways a quadratic polynomial can be factored out. What applies when? the different ways to factor a quad equation..... well, there is the trial and error method
I love your enthusiasm:)
lol
I think they should put a like button on here!lol
there is the "completeing the square" method
hah...i think thats the fan button. they give you cool titles like lifesaver, champion, star...but when you get to 100 and above, they turn you into a sandwich :/
:( (to the sandwich part) I'm a fan of you:)
I suck i have no fans
awww.... thanx :) I hit 200 a few days ago and was hoping for something cool like "turkey club on rye"..but noooooo.....they stuck me with "superhero" lol
be right back...I need to check on my daughters...
lol...
ok..they are fine
the four most used methods to factor quadratics are: Factoring Factor by Grouping Quadratic Formula Completing the Square
Does that have to do with the 1st question
When do we use them? dunno really. Factoring is just splitting it up into its basic components... that can be done if its easy to recognize
yeah sure...maybe :)
by grouping generally ocuurs when there are more than 3 terms. we group them into pairs and factor them seperatley
the quad formula is used when we just dont have time or patience to do the other ways :)
and completing the square is just the long hand version of the quad formula, I guess you use it when you cant recall the quadratic formula :)
Now to the 2nd question
x ^ 3 + 2x^2 + x = 0 Can factorization still help solve this equation ? If yes, how ? Yes, if we can notice that all the terms include an "x" factor then we can remove it and do our quadratic techniques on the remaining terms like this: x ^ 3 + 2x^2 + x = 0 x(x^2 +2x +x) = 0 x (x+1)(x+1) = 0 x = 0 or x = -1
that little straggling +x should be a +1....
x(x^2 +2x +x) = 0 <- right in there x(x^2 +2x +1) = 0 x (x+1)(x+1) = 0
ok, Now I am confused...
lol...story of my life
tell me whats got you confused :)
about the straggling....
I had a typo in there; that x^2 +2x +[x] <- right there. it should have been: x^2 +2x +1
Thank you got it! I will probably be on again tomorrow.....I have this stuff all week and get really frustrated! Thanks for all your help! You are great! I am sure you are better then a sandwich:)
thanx :) take care ;)
You too

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