Question

Factor completely: −2x3 + 6x2.

−x(2x2 − 6x)
2x(−x2 + 3x)
−2x2(x − 3)
Prime
@Directrix

Answer 1

what does it mean by factor?>

Answer 2

Numbers that multiply to a given number.

As, 2 and 3 are factors of 6. Each divides into 6 with a zero remainder.

Answer 3

−2x3 ---> has a -2, x^3

6x2 --> has 2, 3, and x^2

Answer 4

okay

Answer 5

x^2 is a factor of x^3

Look at the options to see if a negative 2 is factored out

Answer 6

Well in option c it is

Answer 7

Let's look at options:

−x(2x2 − 6x) --> not completely factored because there is a common 2 in 2x2 and also in the -6x. So, scratch it off the list.

Answer 8

You mentioned option C. Let's look at it:

−2x2(x − 3)

Answer 9

We will multiply it back out and see what we get.

-2x2 * x = ?

-2x2 * (-3) = ?

Answer 10

ohh crap i lagged one sec let me refresh

Answer 11

or you can do it this way
−2x3+6x2

2 is a factor
2(−x3+3x2)

ask yourself can i factor more
yes it looks like i can get x more
2x(−x2+3x1)

ask yourself can i factor more
yes it looks like i can get x more
2x2(−x1+3)

ask yourself can i factor more
no thats how my bro expained it is it correct

Answer 12

Is that from the MaPaw site or the Tiger-Math site?

Answer 13

I have no idea thats what my brother told me

Answer 14

@knightmare6 Just wondering because I thought I might use it.

Answer 15

So its B?

Answer 16

So, are you and the Bro saying that −2x2(x − 3) is the correct answer

Answer 17

yes

Answer 18

No b is correct

Answer 19

I concur with you and the Bro. −2x2(x − 3) is the complete factorization.

Answer 20

I agree with you and the Bro.

Answer 21

okay