Question

Factor:
3x^2z+36xz+96z

Answer 1

First, factor the 3 out. What do you get?

Answer 2

x^2z+12xz+32

Answer 3

\[x^2 z + 12xz + 32z\]Yeah.

Answer 4

factor the "3z" out

Answer 5

That is what you get inside the bracket.

Answer 6

...

Answer 7

Now, do you see something common?

Answer 8

@jbell2012

Answer 9

that i need to factor the 3 out?

Answer 10

didn't you already do that ?
infact, '3z' was common to all terms, so you could have factor out 3z in first step only.

Answer 11

yes i did.

Answer 12

now how do i factor it do to put it in parenthesis? would it be: (xz-8z)(x-4)?

Answer 13

lets go step by step ?
what you got after factoring out 3z ?

Answer 14

so, that i can show you why its not -8 and -4

Answer 15

i got x^2z-12xz+32z

Answer 16

thats only after factoring out 3, right ?
after factoring 'z' also, we get
3z (x^2+12x+32)

*also, how did '+' in middle change to '-'? :O *

Answer 17

It's called magic!

Answer 18

alright. i see.

Answer 19

now can you factor, (x^2+12x+32) ?

Answer 20

(x+8)(x+4)

Answer 21

that would be correct :)
so, finally, 3x^2z+36xz+96z would be factored to 3z(x+8)(x+4)

Answer 22

ALRIGHT! :D now i see this! :P help me with another?

Answer 23

sure :) how about a new post , maybe ?

Answer 24

alright