Question

Factor By Grouping.

Answer 1

@snowflake0531

Answer 2

x^6 + (x +1)

Answer 3

WHat

Answer 4

one sec, let me retype it

Answer 5

\[(x^3 +x^2) + (x + 1)\]

First, what's the greatest common factor for \[x^3 and x^2\]

Answer 6

x

Answer 7

Er, are you sure?

Answer 8

x^2

Answer 9

Yep
So we have
\[x^2 ( x+1) + 1(x+1)\]

agreed?

Answer 10

whered the 1st x+1 come from?

Answer 11

Well, anything multiplied 1 is itself
and to make the next step less confusing, I added a 1 in front

Answer 12

so
yea?
or no?

Answer 13

yea

Answer 14

i see now, it come from the x^2

Answer 15

wat

Answer 16

cuz if it was 2x^2, itd be 2, but its 1x^2

Answer 17

._.
No

Answer 18

oh

Answer 19

ok, im still confused

Answer 20

We had
\[x^2 (x+1) + x+1\]

do you get how we got that?

Answer 21

oh, yeah.

Answer 22

Okay
and using the associative property or whatever
it can also be written as
\[x^2(x+1) + (x+1)\]
yes?

Answer 23

ye

Answer 24

Okay, adn we look at the right half
(x+1), do you agree that (x+1) equals 1(x+1)
?

Answer 25

si

Answer 26

lol
so now do you get how I got

\[x^2(x+1) + 1(x+1)\]

Answer 27

kinda

Answer 28

im still confused where the 1 in x^2(x+1) came from

Answer 29

ohhhhh that 1

Answer 30

ye

Answer 31

So, we got that the greatest common factor of \[x^3 + x^2\] is \[x^2\]

Answer 32

So, factor it out

Answer 33

i thought it would just be x

Answer 34

What do you get after you factor out \[x^2\] from \[x^3 +x^2\]

Answer 35

but that would make it x^3 instead of x^2

Answer 36

x

Answer 37

?

Answer 38

well, x^2(x)

Answer 39

I have no clue what you're talking about lol

but we would do this by

\[(x^3+x^2)/x^2\]

Which is
\[\frac{ x^3 }{ x^2 } + \frac{ x^2 }{ x^2 }\]

Answer 40

What is
\[\frac{ x^3 }{ x^2 }\]

Answer 41

Do you know the laws of exponents?

Answer 42

hey, my dad came and helped

Answer 43

nice

got the answer now?

Answer 44

eh, nrly, im gonna ask my teach tmrw

Answer 45

i gotta shower anyway

Answer 46

and the wifi will be off by the time i get out.

Answer 47

thank you tho, much appreciated.

Answer 48

kk