Question

HELP!!! write in factored form.

for the answer i have to have grouped factors it has to be factored and all factors are the degree of 1

Answer 1

\[k(x)=x ^{4}-\frac{ 10 }{ 3 }x ^{3}+10x ^{2}-30x+9\]

Answer 2

Look at the constant term. It's 9.
Try pluging in ±1, ±3 and ±9 into k(x) to see if the values equal to zero :)

Answer 3

and then?

Answer 4

If luckily any one of them equal zero, you can use the factor theorem :)

Answer 5

ok so 9 doesn't equal 0

Answer 6

and 1 doesnt equal 0

Answer 7

none of these equal 0

Answer 8

http://www.wolframalpha.com/input/?t=crmtb01&f=ob&i=Factorize%20x4%E2%88%9210%2F3x3%2B10x2%E2%88%9230x%2B9

Answer 9

3 equal 0

Answer 10

oh, forgot to tell you try \(\pm\dfrac13\) as well

Answer 11

um im really confused

Answer 12

i dont get any of this

Answer 13

Do this.
After you do the polynomial division described at the end of the screenshot you will have 2factors (one with 1 degree and the other 3) repeat this method for the factor that is higher degree than 1 until you get all factors to 1 degree

Answer 14

Do you get it?

Answer 15

no... ;(

Answer 16

Do you know how to do polynomial division?

Answer 17

no...

Answer 18

You don't remember it, or haven't learnt it yet and you are not allowed to use it?

Answer 19

umm im gonna go with dont remember haha

Answer 20

If a polynomial expression has any roots it can be written as a factor of them.

Example x^2-1 has roots 1 and -1 so it can be written as (x-1)(x+1)

Answer 21

Do you get that?

Answer 22

haha no...im really slow at math

Answer 23

You ain't slow, you just haven't studied enough!
I highly recommend watching this vid. You will get the idea,
https://www.youtube.com/watch?v=eF6zYNzlZKQ

Answer 24

After you do that watch this one https://www.khanacademy.org/math/trigonometry/polynomial_and_rational/dividing_polynomials/v/polynomial-division

Answer 25

And if you only care for the answer it's this.

Answer 26

is that is the degree of 1?