Question

Factor the trinomial: 3x2 + 11x + 6

Answer 1

i suck at math too but do you want my help anyway?

Answer 2

haha yes

Answer 3

these guys will prolly get the answer before i get so i'll wait....:)

Answer 4

\[3x^2 + 11x + 6 = 3x^2 + 9x + 2x + 6\]

Can you now guess what will be the factor which will be taken out ??

Answer 5

no

Answer 6

me niether...

Answer 7

@dpaInc doing great job go ahead with your work...

Answer 8

-2/3 and -3

Answer 9

can someone have a phone and can text me?i cant do this im just a 14 year old girl!!lol

Answer 10

Don't give out your number kid!

Answer 11

thats not one of the choices for my online summerschool thing

Answer 12

wht r the choices?

Answer 13

A. (3x + 2)(x + 3)
B. (3x + 3)(x + 2)
C. (3x + 1)(x + 6)
D. (3x + 6)(x + 1)

Answer 14

Hey you guys! Please try to help the person get the answer on their own. Giving the answer doesn't help. Also it is totally not safe to give out private info.
Thanks,

Answer 15

^lets not listen to her we need answers

Answer 16

Oh no! You will listen to me if you don't want to be suspended. It is also against the CoC to just look for answers.

Answer 17

leave it at last 3rd step

Answer 18

Lets try to teach this person please.

Answer 19

Their actually right, dont give exactly the answer.
We will not learn if we give the answer

and
Im sorry if the other question i give all the answer..
I didnt think about that today..

Answer 20

3x^2+11x+6

ax^2+bx+c

The trick I like to use is:
Find two factors of a*c that have product a*c and sum b

Answer 21

So we need to find two factors of 3*6 that have product 18 and sum 11

Answer 22

Can you @isuckatmath419 think of two such numbers?

Answer 23

i can think of 3 is that one?

Answer 24

What two numbers can you multiply to get 18
and add to get 11 is my question

Answer 25

@myininaya are you a teacher? cuz if you are, mybe if i hav a question for math i might ask u..
u sound like a teacher for me..XD (sorry about that)

Answer 26

Yes I teach mathematics.

Answer 27

i cant think of the two numbers

Answer 28

Hint: What is 9(2) and 9+2?

Answer 29

ohhhh haha its 9 and 2

Answer 30

lol yes! :)
Now once you find those numbers you replace your middle term 11x with 9x+2x
And this is still the same expression just written a little different
3x^2+9x+2x+6

Answer 31

Then you factor by grouping

Answer 32

What factors do 3x^2 and 9x have in common?

Answer 33

@myininaya Oooh Ok, thank u. At least I know one teacher now.. or something..
well i know one too who is good but his/her a student...
cuz i can tell that Im not really good at Math..

Answer 34

have a 3 in common

Answer 35

And what factor by grouping means is we will look at the first two terms together and the last two terms together
like this:
(3x^2+9x)+(2x+6)
And then we will "pull out" what they have in common from each grouping
And they also have the factor x in common too, right?

Answer 36

So that means we can factor 3x from the first two terms
like
3x(....+....)+(2x+6)

Answer 37

But what goes in those two blanks once we "pull out" 3x

Answer 38

Or in other words divide both 3x^2 and 9x by 3x since 3x is the thing you "pulled out"

Answer 39

is that 1x?

Answer 40

What is \[\frac{3x^2}{3x}=? \text{ and } \frac{9x}{3x}=?\]

Answer 41

im not sure,i thought maybe 1x

Answer 42

\[\frac{3 x x}{3 x} =? \text{ and } \frac{ 3 \cdot 3 x}{3 x}=?\]

Answer 43

Is it obvious now?

Answer 44

oh yes for that one it is 1x but what about the other

Answer 45

is it 6x?

Answer 46

And by the way 1x=x
so we can just say x instead of 1x but 1x is fine but you won't see your answer with 1x you will see it with just the x
well the 3x's cancel right leaving you just with ....

Answer 47

what is 9/3?

Answer 48

its the same as 6/3?

Answer 49

nope
9/3 is 3 because 3*3=9

Answer 50

6/3 is 2 because 2*3=6
but the question was what is 9/3 not 6/3

Answer 51

So we have 3x(x+3)+(2x+6)
You try the second pair of terms

Answer 52

Factor 2x+6

Answer 53

What factors does 2x and 6 have in common?

Answer 54

oh 2?

Answer 55

right! :)
So if we factor out 2 from the second two terms we have
3x(x+3)+2(...+...)
But what goes in those blanks

Answer 56

Just divide 2x by 2 and
just divide 6 by 2

Answer 57

so is that 1 and 3?

Answer 58

Close

Answer 59

2x/2 leaves us with also that x right?

Answer 60

yes

Answer 61

So we have
3x(x+3)+2(x+3)

But omg right! We have two terms left and they both have what common factor?

Answer 62

And when I say two terms left I mean the first term is 3x(x+3) and the second term is 2(x+3)

Answer 63

Both of these terms have the common factor _____?_____

Answer 64

You are almost there!
You can do it @isuckatmath419 :)

Answer 65

umm idk is it 1 3?

Answer 66

Ok just so you know the first term has the following factors: 3, x , (x+3)
The second term has the following factors: 2, (x+3)
They both have what factor in common?

Answer 67

They don't have 2 in common
They don't have 3 in common
They don't have x in common
But they do have ...... in common

Answer 68

is it they got + in common

Answer 69

they have the factor (x+3) in common

Answer 70

Do you see this reply:
"Ok just so you know the first term has the following factors: 3, x , (x+3)
The second term has the following factors: 2, (x+3)
They both have what factor in common?"

The first term had three factors, the 3 ,the x , the (x+3)
The second term had two factors, the 2 , the (x+3)

The (x+3) is a factor in both of these terms

Answer 71

So anyways we are trying to factor this 3x(x+3)+2(x+3)
And we said (x+3) is the factor that both terms have in common

Answer 72

So we can "pull out" (x+3)

Answer 73

(x+3)(___+___)

Just divide your first term 3x(x+3) by (x+3)
and
Just divide your second term 2(x+3) by (x+3)
to figure out what goes in those blanks
and then you will have your answer

Answer 74

What did you get when you divided 3x(x+3) by (x+3) ?

Answer 75

im trying im not good at it

Answer 76

What do you get when you divide 3xy by y?

Answer 77

3xy*?

Answer 78

Well the y's cancel
You have factor y on top and factor y on bottom
so they cancel

Answer 79

3xy/y=3x
So
3x(x+3)/(x+3) is also the same 3x
You have the factor (x+3) on top and the factor (x+3) on bottom they cancel

Answer 80

Now 3x goes in the first blank
so so far we have
3x(x+3)+2(x+3)
(x+3)(___+___)
(x+3)(3x+___)

Answer 81

now what is 2(x+3)/(x+3) =?

Answer 82

You have the factor (x+3) on top and bottom so what are you gonna do what the (x+3)'s ?

Answer 83

@isuckatmath419 can you do this division
2(x+3)/(x+3) =?