How to prove that 2𝑥 − 1 is factor of a polynomial?

[Deleted member 6191]

E.g. of something x^3 − something 𝑥^2 + 𝑥 − whatever number .

Does long division work in this situation or do i DO synthetic? Btw retarded so I forgot how to do synthetic division.

Then I have to factor the e.g. x^3 − something 𝑥^2 + 𝑥 − whatever number.

 

[Deleted member 5522]

Did you try looking up your own asshole? That's where the answer is.

 

[Deleted member 6191]

Did you try looking up your own asshole? That's where the answer is.

Sorry rules say no homosexual activity, cannot do that.

 

[Deleted member 5522]

 

[Deleted member 6191]

View attachment 510662

Inoki is pretty nice ngl, mogs Sandler anyday.

 

[Deleted member 5891]

Does long division work

No. You need synthetic


You could also check what the solution to the 2x-1 is like 0.5 and this case and test if this is also a solution to the other polynomial.

This method only works to exclude the 2x-1 not to prove it because also the factor 4x-2 could be the real factor of the polynomial

@Dukeys

 

[Zygos4Life]

Proofs are gay tbh

 

[Deleted member 6191]

No. You need synthetic

Was happy for a second.
Anyways, was never taught synthetic not asking u to teach but how do I do it lmao

 

[AutisticBeaner]

ah, you're 16. that explains it.

 

[Deleted member 6191]

Proofs are gay tbh

LOL it's unit assignment taking 4u adv functions in the summer, so i can relax in the school year

 

[Deleted member 6191]

ah, you're 16. that explains it.

I AM TURNING 17 SOON WAS BORN IN 2003

 

[SpearOfOrion]

You can't factor a first order polynomial.

 

[Deleted member 6191]

You can't factor a first order polynomial.

Confused, it's asking "Prove that 2𝑥 − 1 is a factor of xyz" the e.g. was just a random thing. so like when given 𝑓(𝑥) prove that 2x-1 is a factor of xyz

 

[SpearOfOrion]

Confused, it's asking "Prove that 2𝑥 − 1 is a factor of xyz" the e.g. was just a random thing.

ah sorry, didnt get your question. Yes you can long division xyz by 2x-1, or use ruffini's rule. If the remainder is 0 you're good

 

[Deleted member 6191]

ah sorry, didnt get your question. Yes you can long division xyz by 2x-1, or use ruffini's rule. If the remainder is 0 you're good

thats alr, so u mean f(x)= 2𝑥^3 − 13𝑥^2 + 24𝑥 − 9 or something would work? by example w long div. also whats ruffinis rule lol

 

[CsCurry]

E.g. of something x^3 − something 𝑥^2 + 𝑥 − whatever number .

Does long division work in this situation or do i DO synthetic? Btw retarded so I forgot how to do synthetic division.

Then I have to factor the e.g. x^3 − something 𝑥^2 + 𝑥 − whatever number.

You can just factor out the x in x^2+x

Alternatively, you need to use descarte rule of signs+ synth division for more complex functions to find the root.

But since you are online you can just graph to find the 0s with Desmos or w/e

 

[AbandonShip]

Proofs are gay tbh

I agree

 

[Deleted member 6191]

You can just factor out the x in x^2+x

Alternatively, you need to use descarte rule of signs+ synth division for more complex functions to find the root.

But since you are online you can just graph to find the 0s with Desmos or w/e

I have to prove through the process of calculations. Like u said with synbth dividison. I have to review it lol. I'll check with desmos

 

[Deleted member 6191]

No. You need synthetic


You could also check what the solution to the 2x-1 is like 0.5 and this case and test if this is also a solution to the other polynomial.

This method only works to exclude the 2x-1 not to prove it because also the factor 4x-2 could be the real factor of the polynomial

@Dukeys

Just saw what u wrote instead. I'll try this out as well thanks.

 

[Timelessbrah]

Bro you in high school?

 

[Deleted member 6191]

Bro you in high school?

Yes.

 

[Timelessbrah]

Yes.

OK. Just don't choose a dificult ass course in you go to college, that math ain't nothing compared to what you will encounter in the future, in case you decide to.

 

[CsCurry]

I have to prove through the process of calculations. Like u said with synbth dividison. I have to review it lol. I'll check with desmos

Yea make sure to use ros to guess better

 

[Deleted member 6191]

OK. Just don't choose a dificult ass course in you go to college, that math ain't nothing compared to what you will encounter in the future, in case you decide to.

Lol, it's not hard I've just been lazy recently + it's an online course.
Gonna go into mech or civil engineering since for some reason physics a bit more doable.