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alright, let's factor : \[(3x + 5)(x + 1) = 0\] use the FOIL method to check your answer ^_^
how do you figure them out so easy
skill and class :)
exactly lol ^_^ , practice makes perfect :) Believe me, I was so bad at these lol
class hasnt helped me lol
class won't help, it just introduces the concept, only you can help yourself :)
it helps when 3 and 5 make 8 right in front of you tho, but it takes practice to notice it ...
i use the first and last numbers, and the signs of the middle and last numbers to figure alot of it out....
i have the test tomarrow so we'l see
there are some underlying concepts to be aware of that help.... like how the equation is constructed to begine with and that way you can more easily tear it apart
so on this next one- 5w^2 + 13w - 6
you're going to do great ^_^
5(6) = 30... the last signis negative so the signs are different and its subtraction.... the middle number is positive so the largest factor is the positive...
(w+/5)(w-/5) is my setup...
1,30; 2,15, 3,5 15-3=13 use it
(w+15/5)(w-2/5) simplify and shift
ok so what the first and last multipy out to the middle needs to add up to that number
want me to go slower :)
the first number is used to "calibrate" the rest. does that make sense?
ok... the last number is used with the first number to find a "pool" of options for our middle number... does that make sense?
5(6) = 30...what are our options...all of them...
the factors of 30
yes, what are they so we can see them :)
start with the obvious..1,30; and move on
15*2 6*5 30* 1
thats good, lets keep those available while we "setup" our answer
the last number is gotten by multiplication right? so the sign of that number tells us alot of what we need to use
if the sign is (-) what are our options?
well get to that... but for now, focus on the sign only and not the value of the number... our set up is this: ( w ) (w ) we need some signs....
one of each
plus and minus
good job.... now look at the middle number and that tells you which number is bigger... does that make sense?
whats the middle sign? + or -?
that middle number is +13 right?
then we want our "bigger" numbe that we use to be (+) (w + B )(w - L ) got it?
now which factor do we see that will subtract to get 13?
good (w +15 )(w -2 ) couple more loose ends to wrap up we used that "5" from the front to begin with and so we need to divide it out in this step like this: (w +15/5 )(w -2/5 ) makes sense?
simplify those fractions and if they still look like a fraction... move the bottom in front of its x partner like this: (w +3 )(w -2/5 ) cant reduce anymore so move the denoms if there is any: (w +3 )(5w -2) and were done
thank you so much our teacher goes to fast
lets do another one so I can see you do it :)
if it cant be done like this...use the quadratic formula :)
first step is what?
find the factors of 40?
close, first time last for a pool
use that first now so we can divide it later... whats our pool?
oh ya...let me write this down
no writing...must do it the hard way :)
write it down.... :)
i did lol
what are our "factors" of 80 to choose from?
1,80; 2,40; 4, 10; 8, 5
8 and 10 lol forgot how to multiply
1,80; 2,40; 4,20; 8,10; 16; 5 thats better
lets start setup.... 2x^2-2x-40 (x )(x ) we need signs...what are they?
both (-) meaning? that (-)(-)=(-)?
one of each
the last number sign tells us we need to multiply some signs to get it....
good, and the middle tells us which is begger right?
or bigger depending on your accent :)
(x- B )(x+L ) we good so far? you writin this down?
2x^2-2x-40 what numbers from our pool will give us 2?
good. lets fill them in (x-10 )(x+8 ) now divide out the first number that "2" we used (x-10/2)(x+8/2) now what?
thats right.... but let me check our work a second....
one little after thought that usually doesnt come up is this..... we could have factored out a "2" to begin with.
as the gcf
yep.... so we actually need to put it back in like this: 2(x-5)(x+4) to make everything right again :)
now this will work back into the original :) you tried to trick me didnt you :)
thanks..you helped alot
youre welcome.... hope you do good :)
il get on toarrow night and let you know if your here my class is at 8am
8am eh... is that florida time?
ahh.... your 2 or 3 hours behind me then
ya its 11
:) library is closing here at my college.... so have fun :)
ok im off to bed thanks again