Question

@whpalmer4
-2 +2x^2
Factor the polynomial.
Please help for a medal....or an oreo ;) <3

Answer 1

\[-2+2x^2\]Is that it?

Answer 2

I didn't solve this one yet.
Yes, that's the problem! :)

Answer 3

Okay. See any common factors?

Answer 4

Uh...um...2?

Answer 5

Any others?

Answer 6

-2?

Answer 7

that's a better one. What do you have after you factor that out?

Answer 8

Uh...
-2 (1-2x^2)
Is that right?

Answer 9

not quite. \[-2(1-2x^2) = -2*1 -2*(-2)x^2 = -2+4x^2\]which is not what you started with.

Answer 10

What? I do not understand what you just did...please explain?

Answer 11

I just multiplied out what you factored. I should get the same thing we started with if neither of us made any mistakes.

Answer 12

I didn't, but you did :-)

Answer 13

Wait, what?
Okay, can we just start over. The common factor is -2. Then...?

Answer 14

Because it's really confusing

Answer 15

Factor -2 out of \(-2+2x^2\). In other words, what do you have to multiply by -2 to get \(-2+2x^2\)?

Answer 16

-2 (1+x^2)

Answer 17

Let's do it term by term:

what is \[\frac{-2}{-2}=\]

Answer 18

\[-2 (1+x ^{2})\]

Answer 19

No, answer my question, please...what is \[\frac{-2}{-2}\]

Answer 20

-2/-2 equals to 1.

Answer 21

Okay, so the first term is 1

What is \[\frac{2x^2}{-2}=\]

Answer 22

-1x^2

Answer 23

Right! so the second term is \(-x^2\), giving us\[-2+x^2 = -2(1-x^2)\]If we multiply that out, we'll get what we started with:
\[-2(1-x^2) = -2*1 -2*(-x^2) = -2 +2x^2\checkmark\]

Answer 24

Sorry, that first line should have been \[-2 + 2x^2 = -2(1-x^2)\]

Answer 25

So I am right. Yay!(:

Answer 26

No, you had \[-2+2x^2 = -2(1+x^2)\]and that is not right.

Answer 27

no, i put a minus sign

Answer 28

oh wait never mind
my mistake...i meant to though

Answer 29

Okay :-)

So, are we done factoring?

Answer 30

uh no

Answer 31

Good. what's the next step?

Answer 32

Hint: Don't pull out another problem :-)

Answer 33

What?
-2 (1+x) (1-x) ?
Is that right?

Answer 34

Well, let's check:

\[-2(1+x)(1-x) = -2(1*1 -1*x + 1*x -x*x ) = -2(1-x^2) = -2+2x^2\checkmark\]

Answer 35

@#$@# OS web design, gives you more space when typing than will actually show up on the screen when posted :-(

Answer 36

LOL

Answer 37

Yes, that is correct.

Answer 38

Thanks. Next problem? I'll tag you.
You have been such a great help so far. Thank you so much!

Answer 39

you had a bit of trouble factoring out the -2, but you made up for it by spotting the backwards difference of squares, I was very pleased :-)

Answer 40

My grandpa helped me ...XP

Answer 41

LOL thank you though