Question

Which is a factor of 6x3y + 6xy – 12x2– 12?


x + 2
xy – 1
x2 + 1
x2 – 2

How do I do this?

Answer 1

can you tell us which ones are exponents

Answer 2

Hang on Rebecca. :P

Answer 3

hang on isaiah

Answer 4

\[6x ^{3} y + 6xy – 12x ^{2}– 12\]

x + 2
xy – 1
\[x ^{2}+1\]
\[x ^{2}-2\]

Answer 5

so now we shall divide

Answer 6

Divide what ? c:

Answer 7

hold on lemme write it out first

Answer 8

okay :)

Answer 9

so what can we easily factor out?

Answer 10

6x

Answer 11

or 6xy?

Answer 12

look at each term does all of them have x or xy??

Answer 13

ohh okay so 6x

Answer 14

does 12 have x in it??

Answer 15

@phi @Kainui

Answer 16

Only one of them but it also has an exponent... oohhh okay so add 6x^3 and -12x^2

Answer 17

just start off by dividing all the terms by 6. then we can factor the rest.

Answer 18

so I have \[x ^{3}y+xy-2x ^{2}-2\]

Answer 19

am I right? @rebeccaxhawaii

Answer 20

@mathmale ?

Answer 21

have you actually chosen one of the four possible answers? Have you demonstrated that that answer (factor) actually divides into the given expression with no remainder?

Answer 22

._.)/ what?

Answer 23

I was going step by step ._.

Answer 24

@Isaiah.Feynman

Answer 25

this is probably one of those goofy "factor by grouping" questions
is it clear that there is a common factor of 6 in each term? factor that out first

Answer 26

\[6(x^3y+xy-2x^2-2)\]

Answer 27

;-; so would it be wait that would put me back to where I started .-.

Answer 28

the first two terms in inside the parentheses have a common factor of \(xy\)\[6(\color{red}{x^3y+xy}-2x^2-2)\]

Answer 29

and the last two terms have a common factor of \(-2\)

Answer 30

but theres a exponent

Answer 31

relax, it will all work out

Answer 32

;-; ok

Answer 33

\[6(2y(x^2+1)-2(x^2+1))\]

Answer 34

now each of those terms inside the parentheses have a common factor of \(x^2+1\) so we can "factor it out" as the math teachers day, and end with \[6(x^2+1)(xy-2)\]

Answer 35

and there it is displayed in factored form
imagine how they cooked up such a silly question !

Answer 36

x + 2
xy – 1
x2 + 1
x2 – 2
these are the options for the answers

Answer 37

soo B?

Answer 38

;-; omfg I'm just gonna go with the 2nd one.