Question

What is the simplified form of this expression?

8x3+24x2+18x−−−−−−−−−−−−−−√

Answer 1

here is the problem. will give medals, please help!! @AndrewTheCookie @ashbrunet @BaconBits @CaseyCarns @danish071996

Answer 2

(x+1)(ax^2+bx+c)

Answer 3

develope it

Answer 4

i'm confused on what to do for the first step...i'm sorry.

Answer 5

the first one (choice)

Answer 6

factor a \(2x\) out of the radicand,
the result i think is a perfect square

Answer 7

okay i'm doing that now:)

Answer 8

let me know what you got

Answer 9

wait factor the 2x out of all of the parts of the expression?

Answer 10

factor a \(2x\) out of the radicand \[8x^3+24x^2+18x\]

Answer 11

let me know what you get
then we can do from there

Answer 12

4x^3+12x^2+9x is what i got...

Answer 13

you divided by 2
maybe it is not clear what i mean by 'factor out the \(2x\)"

Answer 14

\[8x^3+24x^2+18x=2x(something)\]

Answer 15

how do i factor the 2x out? i'm sorry, clearly having trouble...

Answer 16

you do it mentally i think
each term in \(8x^3+24x^2+18x\) has a factor of \(2x\) in it

Answer 17

for example \(8x^3=2x\times 4x^2\)
have you not factored out a common factor of a polynomial before?

Answer 18

i don't think i have....is this the same as foil?

Answer 19

no foil is a stupid mnemonic device invented by dim math teachers to try to get you to remember the distributive law
factoring is writing a sum as a product, not multiplying out

Answer 20

this is how to factor, see if it rings a bell
\[8x^3+24x^2+18x=2x(4x^2+12x+9)\]

Answer 21

then you are supposed to recognize that \(4x^2+12x+9\) is a perfect square namely it is
\[(2x+3)^2\]

Answer 22

okay...i see what you just did on the last post! about how to factor:)

Answer 23

that would make it the first option correct?

Answer 24

so putting it all together eventually you get
\[\sqrt{(2x+3)^2\times 2x}\]

Answer 25

making the entire thing
\[(2x+3)\sqrt{2x}\]

Answer 26

i am understanding slowly:) do you think you could help me with a few more problems?

Answer 27

that would be the first option, but i am not so sure about the \(\pm\) part, but that is what you have

Answer 28

sure i can help with another if i know it

Answer 29

you want to post a screen shot?

Answer 30

i will do that, i'll also close this sothat i can give you another medal:)

Answer 31

lol ok i don't really need another one though, but if you post a new question i will not have to scroll down so far

Answer 32

:)haha okay! either way:) and you deserve another.