Question

@AravindG Help request, may take a while.

Answer 1

I'm working in heavy polynomial crap o3e halp.

Answer 2

ready to start? this means factoring, all tons of crap that I am bad at atm. please help pls

Answer 3

first- tell me what factoring completely means, that's where I need to begin with. help me!

Answer 4

For example. Take the equation x^2-5x+6=0

We can write it as (x-3)(x-2)=0
This means either (x-3)=0 or (x-2)=0


Better said x=2 or x=3

Terms (x-3) and (x-4) are called factors. And the method of writing it like that is called factorization.

Answer 5

wel, how would 2x^2 + 14x + 12 factor completely?

Answer 6

First make x coefficient unity.

Answer 7

I'm only in 8th grade algebra... I don't know the term... "unity"

Answer 8

You could take 2 common outside.

Answer 9

unity means 1

Answer 10

so, x with a coefficient of 1, or 1x, or x?

Answer 11

2(x^2+7x+6)=0

Answer 12

Now we can factorize x^2+7x+6 Keeping 2 aside.

Answer 13

so we use foil now?

Answer 14

foil?

Answer 15

FOIL first outer inner last
the method for multiplying binomials, and also how you would get the original number from factorization

Answer 16

but should we use it in reverse instead of to check?

Answer 17

First look at x^2+7x+6 forget the 2 outside.

To factorize this think of 2 numbers that add to 7 and when multiplied gives 6.

Answer 18

1 and 6?

Answer 19

Yep so factorized form is (x+1)(x+6)

Answer 20

Now bring the 2 back so final answer is

2(x+1)(x+6)

Answer 21

okay...
I know this solution, but i want to know why...
2x^3 – 32x
factored completely to
2x(x + 4)(x – 4)

Answer 22

2x^3 – 32x

Take 2x common from both terms.

Answer 23

but why is there no x^2 terms?

Answer 24

why is there no -16?

Answer 25

first tell me what u get after taking 2x common.

Answer 26

??

Answer 27

2x^3 – 32x =2x(something)

what is something?

Answer 28

2x(-32x)

Answer 29

right?

Answer 30

@AravindG I'm back... hello? was I right? I will be on/off though... help?

Answer 31

Nope

2x(x-16)

Answer 32

2x(x^2-16)

Answer 33

hm...

Answer 34

I will be active on this on/off today so... yeah...

Answer 35

Sorry I gtg now.

2x^3 – 32x=2x(x^2-16)=2x(x-4)(x+4)

That is how its done.