Am I missing a step? Or is the computer wrong???
#Why is the assignment saying that this is wrong?
blazing stirrup
crude marlinBOT
simple tapir
Am I missing a step? Or is the computer wrong???
can you show your work?
blazing stirrup
yeah
simple tapir
or no actually the assignment says to factor out the common factor, have you done that?
simple tapir
??Idk what that is telling me to do
do you know what it means to factor out a common factor?
simple tapir
sort of, you are indeed finding the GCF of the terms, but you are then going to factor out the GCF
so for example
if i have 3x^2+6x, what would be the GCF of both the terms?
blazing stirrup
2
simple tapir
do you know what a GCF is?
blazing stirrup
greater common factor
simple tapir
yep
so were looking for the greatest number that can divide 3x^2 and 6x evenly
does that make sense?
blazing stirrup
ohhhh
blazing stirrup
if i have 3x^2+6x, what would be the GCF of both the terms?
wait but is there a gcf for this???
because we cant divide 3 with 2 or 3 with 2
sorry i am slow with math
simple tapir
its all good dw
were looking for the greatest number that can divide 3x^2 and 6x evenly.
to do that we can first notice that 3x^2 and 6x can be divided by x evenly
now if we take a look at the coefficients we can notice that 3 divides 3 and 6 evenly too
thus, the GCF would be 3x
does that make sense or does anything need elaboration upon?
blazing stirrup
to do that we can first notice that 3x^2 and 6x can be divided by x evenly
all the numbers can be divided by x even if 2 dosent have x?
simple tapir
where are you getting 2 from?
blazing stirrup
but there is no common gcf here except 1
simple tapir
well were looking at (x+3)^2-4(x+3)
the GCF can also be a liner factor too
lets take a look at the two terms
(x+3)^2 and -4(x+3)
do you see anything that can divide both (x+3)^2 and -4(x+3) evenly?
hint: ||it is going to be a liner factor||
blazing stirrup
do you see anything that can divide both (x+3)^2 and -4(x+3) evenly?
(x+3)
simple tapir
alr 
blazing stirrup
wait so this is still correct but I was not doing what the question was asking
what would this be called then?
this form?
simple tapir
wait so this is still correct but I was not doing what the question was asking
what your doing there is putting it into standard form
blazing stirrup
AHHH okay
simple tapir
alright so now that we know the GCF, all we need to do is to factor it out
blazing stirrup
okie let me do it and I will see if I get a right answer bwahha
simple tapir
👍
blazing stirrup
Btw you are so good at explaining
simple tapir
thx :)
blazing stirrup
thank you so much for taking time to help
simple tapir
no prob, its what im here to do
blazing stirrup
I am trying to figure out how to factor (x+3) bwahaha
simple tapir
ok, so when factoring were going to put parenthesis around the expression we want to factor
in this case we can do this:
( (x+3)^2-4(x+3) )
now were going to multiply the outside of the parenthesis by our GCF
that will get us
(x+3) * ( (x+3)^2-4(x+3) )
at the same time were going to divide the terms inside of the parenthesis by the GCF
that will yield
(x+3) * ( (x+3)^2/(x+3) -4(x+3)/(x+3) )
now simplify the inside, what will that get you?
(also if online notation is a bit overwhelming i can use the texit bot if you want)
simple tapir
ok, so when factoring were going to put parenthesis around the expression we want to factor
in this case we can do this:
$$\left(\ \ \left(x+3\right)^{2}-4\left(x+3\right)\ \ \right)$$
now were going to multiply the outside of the parenthesis by our GCF
that will get us
$$\left(x+3\right)\cdot\left(\ \ \left(x+3\right)^{2}-4\left(x+3\right)\ \ \right)$$
at the same time were going to divide the terms inside of the parenthesis by the GCF
that will yield
$$\left(x+3\right)\cdot\left(\ \ \frac{\left(x+3\right)^{2}}{\left(x+3\right)}-\frac{4\left(x+3\right)}{\left(x+3\right)}\ \ \right)$$
now simplify the inside, what will that get you?
ripe windBOT
Judgemental Snail
simple tapir
just try to simplify this part for now
blazing stirrup
(x+3)((x+3)-4)
I GOT IT
It cancels out the outher x+3
but becuase it square there is a additional one left
blazing stirrup
THat is okay, thank you soooooo much for helping me understand
I feel like this conversation we had def help me a lot
simple tapir
im glad :D
before you go though
i want to explain factoring using a literal definition instead of the process
you know the distributive property?
blazing stirrup
Yes I do
simple tapir
you can think of factoring as the opposite of that property
so for example, if we have
a(x+y),
we can use distributive property to get
ax+ay
like wise, we can factor out an a to get back what we just had before using the distributive property
does that make sense?
pretty much, factoring is the inverse of the distributive property 👍
just like how subtraction is the inverse of addition, ect..
blazing stirrup
does that make sense?
Yes that makes much sense
blazing stirrup
Also quick question
simple tapir
sure
blazing stirrup
Do I ask a mod to change my name
because it's in chinese but I want to put it in english so people know what my name is
simple tapir
mhh im pretty sure you can edit your server profile
not sure if it requires nitro though
lemme check
blazing stirrup
they dont allow permission to change name in this server
simple tapir
alr looks good 👍
simple tapir
ok then i would DM modmail then, but not sure if it is permissible though -.-
if you do get redirected by the mods dw
simple tapir
if you go to the server list there should be a bot called "modmail" at the very top
should look like this
blazing stirrup
.solved
crude marlinBOT
Solved