Question

Factor completely: 5x^2 + 20x
Can I have the steps to complete this please?

Answer 1

any ideas?

Answer 2

I don't know what the first step is I think find the GCF

Answer 3

Yes of 5 and 20

Answer 4

Yes, that is correct, find any values that they both share. x and 5.

Answer 5

They both have GCF of 5

Answer 6

Good, now what is the common factor of x and x^2?

Answer 7

That't where I'm confused at

Answer 8

x^2 means x*x

Answer 9

Is it x lol idk I'm so confused

Answer 10

Yes, exactly.

Answer 11

Yay :D Whats the next step?

Answer 12

Put the two together and you get 5x, right?

Answer 13

Yes

Answer 14

Now factor 5x out of both terms.

Answer 15

Can I have help with that ;/

Answer 16

Recall: ab + ac = a ( b + c )

Answer 17

Here a = 5x

Answer 18

So ab+ac=5x(b+c) ?

Answer 19

5xx + 20x

Answer 20

Oh

Answer 21

I feel dumb because Im not really getting this

Answer 22

20x = 4(5x)

Answer 23

OOhhh okay so you did 20/5 and that how you got 4

Answer 24

Yup

Answer 25

Imagine dividing both terms by 5.
5(x^2 + 4x)
Then divide out an x
5x(x+4)

Answer 26

Yeahh

Answer 27

So when you multiply these two terms together, you can check your work by seeing you get the same thing you started with.

Answer 28

Makes sense! Thanks!

Answer 29

I needed to understand the steps more than the answer

Answer 30

$$\Huge 5x^2 + 20x = (5x)x + (5x)4$$

Answer 31

Thank you

Answer 32

Thanks for trying to understand the steps :-)