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I know a shortcut... can I say it?

yes please @ParthKohli

8*? has to equal 16
so basically
8p = 16
p = ???

where p is that answer

yep, you nailed it

yayyy :)

so
v^2 + 10v + 16 = (v + 8)(v + ?)
turns into
v^2 + 10v + 16 = (v + 8)(v + 2)

What is the factored form of x^2 + 6x + 8?

find two numbers that
a) multiply to 8 (last term)
AND
b) add to 6 (middle coefficient)

im confused @ParthKohli

2 and 4 . @jim_thompson5910

It's simple.
You have \((v + 8)(v + ?)\). This shortcut says that \(8 + ? = 10\).

ohhh! @ParthKohli thanks :)

I know that was sarcastic. -_-

hold on im thinking @jim_thompson5910

5 and 3?? @jim_thompson5910

you found the numbers already by saying 2 and 4
2+4 = 6 (middle coefficient)
2*4 = 8 (last term)

ohh.

so it's (x + 4)(x + 2) ?

go ahead and expand out (x+2)(x+4)
you'll find that you'll get x^2 + 6x + 8 back again

i mostly get what you're saying. i have one more if you're willing to help?

correct, the order of the factors doesn't matter
so (x+2)(x+4) is the same as (x+2)(x+4)

i meant (x+2)(x+4) is the same as (x+4)(x+2)

sure go for it

What is the factored form of x^2 – 7x + 12?
and dont worry i knew what you meant lol

same idea, just different numbers

find two numbers that multiply to 12 AND add to -7

-3 and -4

perfect

so it factors to (x-3)(x-4)

(x – 4)(x – 3) ?

unfortunately this trick only works if the leading coefficient is 1, but it's still useful

you got it

well it's actually the same type of problem, just worded differently

they want you to factor g^2 - 2g - 24

what do you get when you do?

write me an equation then and let me solve it :)

like for the question

find me two numbers that multiply to -24 and add to -2 at the same time

-6 and -4

-6 plus -4 = -10 and it does NOT equal -2

so try again

oops lol hold on

-6 and 4?
-6*4= 24
-6+4 = -2
i think lol

good

So g^2 - 2g - 24 factors to (g-6)(g+4)

notice how g+4 is a factor

the other factor is g-6

g-6!

correct since Area = Length times Width

:D

I actually get that!

it only works for rectangles though

that's great

hb this one?
What is the factored form of 4x^2 + 12x + 5?

but we can still use some of the trick

first multiply 4 (first coefficient) and 5 (last term) to get 4*5 = 20

now list two numbers that multiply to 20 AND add to 12 (middle coefficient)

2 and 10

is it (4x + 5)(x + 1) ?

hopefully factoring by grouping is a familiar term

so the final answer is (2x + 1)(2x + 5), right?

correct

hopefully you see how I got all that

okay, thanks :D and lol yeah mostly.

alright, just keep practicing and it'll make more sense

10*(-15) = -150

find two numbers that multiply to -150
and
they add to -19

why do you multiply 10 and -15?

then you find two numbers that multiply to that result and add to the middle number

so the formula is ax^2 + bx + c right?

that's a basic form of a quadratic, yes

so that's why they call it the ac method

I cant find the two numbers that multiply to -150 and add to -19..

im too dumb..

no you're not

stop that

there's a long list to check, but luckily there's a shortcut

have you heard of the quadratic formula before?

ah i'm sry to hear that, at least she'll be gone and a (hopefully) better teacher will take over

dang that's quite pricey

i know right, and okay shoot

noo.......

i guess so.

like i cant even read it in my head let alone get it. i have a headache.

fml. i hate math.

alright, sorry jumped too far ahead

let's ignore the quadratic formula until you get more practice with it

why not sleep then come back?

Got it. and the length is 5x+3 right?

so
length = 5x + 3 (given)
width = 2x - 5 (just found this)

correct

ughhh now i have to solve two more, then ima sleep. thank you so much for the help!

sure thing

go ahead and post and hopefully it won't take too long

then you can finally sleep (til you have to get up in the morning...ugh lol)

you sure? i mean i could try to do them on my own if you want.

sure whatever works best for you

how about you work them and I check what you get

or I can show you how if you're stuck

alright heres this one
What is the factored form of 2x2 + x – 3?
then i'll do the other.

hopefully I didn't cut you off there?

lol magic

ah i should have let you say the two numbers, but hopefully you got 3 and -2 ?

yeah i did lol

ok perfect, you'll be a pro in no time

nice work

OMG YAY:))) Thank you sooo much! like i really didnt get half my stuff till you helped lol

glad to be of help, now get some sleep lol

will do, thank you :)

I know, I probably sound like your mom, but idc lol

your good lol! how old are u by the way?

youre*

lol nah its cool. and its amazing that you put your brain to help people. what do you do as a job?

but thanks lol

i hope you go far! honestly

thanks, i hope so too

definitely getting a lot of practice here lol

lol, there ya go!

and building networks as well (well sorta i guess)

so that's another plus