Question

HELP ME Finish factoring this polynomial

Answer 1

\[2(x ^{3}+2x ^{2}-9x-18)\]

Answer 2

I never try 4 before

Answer 3

factor first two terms, and last two terms separately

Answer 4

oh true that gets u answer easily

Answer 5

\(2(x ^{3}+2x ^{2}-9x-18)\)
^ ^

Answer 6

k

Answer 7

Yes, Ganeshie is a math superhero by night!!!

Answer 8

lol

Answer 9

factor out gcf in those two terms

Answer 10

lol

Answer 11

so this is what I got. 2x(x+2) -9(x+2)

Answer 12

not quite

Answer 13

oh 2x^2

Answer 14

you mean like this :-

\(2 [x^2 (x+2) -9(x+2)]\)

Answer 15

yeah like that

Answer 16

good, pull out (x+2)

Answer 17

Ganeshie, are you a teacher, or just helping America's youth?

Answer 18

he is a dinosaur

Answer 19

ohh both of the (x+2) right??

Answer 20

how are those not the same thing?

Answer 21

the toy story dinosaur

Answer 22

they are isomorphic:)

Answer 23

but how come you only remove 1 (x+2)?

Answer 24

one of

Answer 25

\(2 [x^2 (x+2) -9(x+2)]\)

Answer 26

think of it as two terms separated by - sign

Answer 27

so after I remove them I got (x-3) (x+3)

Answer 28

since both terms have (x+2), you can factor (x+2) as common

Answer 29

\(2 [\color{red}{x^2 (x+2)} -\color{green}{9(x+2)}]\)

Answer 30

really in any situation?

Answer 31

yes, if u see samething in each term, u can factor it out

Answer 32

you have 2x^2*b-2*9*b = b(2x^2-2*9) where b = (x+2)
in other words x+2 is just a number and can be factored as such.

Answer 33

kk

Answer 34

but what do we do with the x^2?

Answer 35

ha, we're getting to that... wat do u get after factoring (x+2)?

Answer 36

i got (x-3) (x+3)

Answer 37

thats right, for x^2-9

overall it should look like this :-

\(2 [\color{red}{x^2 (x+2)} -\color{green}{9(x+2)}] \)

\(2 [(x+2)(x^2-9)] \)

\(2 [(x+2)(x-3)(x+3)] \)

Answer 38

ohhh I HI SI

Answer 39

well Thanks 4 the help

Answer 40

also I'm going to redo this

Answer 41

:) you're wlcme !! good :D

Answer 42

good,redo helps to reinforce problem solving skills. hehe.

Answer 43

reworking a problem*

Answer 44

:D good night

Answer 45

gn sleeping well also helps problem solving skills :) have good sleep :) cya