₦airaland Forum

Darivie04:
You mean your solution? The leading coefficient isn't 1.

The leading coefficient is -⅜.

Darivie04:
You mean your solution? The leading coefficient isn't 1.

I meant to say that the solution exists and it is not a monic polynomial. My solution is correct, why don't you test it?

Though my solution is still correct but I have modified the workings I posted yesterday to make it simpler for you to verify. Check it out.

Darivie04:
Just had time to go through the solution this morning. At first I was confused because at the same time you dropped your solution someone else dropped a proof that the polynomial doesn't exist. I later found out that the proof just applied to monic polynomials.

I actually had that idea of "six coeffiecient equations" but the size of the system made me quickly turn back.

Anyways, thanks a lot for the help.

Oh well, the solution is not a monic polynomial.

bobowaja:
Ubunja wannabe.... She wanna trend with nonsense

Ubunja is really giving some fake feminists a run for their money and they are fighting back. This particular babe bin creating threads of trash lately.

She is an ubunja wannabe. She is hustling her book.

Rilwayne001:
You think the lioness can Lord over the jungle? Even if perchance she's given the chance to Lord it, you think some natural factors will not cut her short?

Have you ever seen a female Chief of Army staff?

Think again

Are you minding chenzen? The lion is the leader of the pride. The protection of the pride from other males rests on the shoulder of lion. The females do the hunting and the males protect the pride.

ubunja:
he's not the only one. Couple of male losers in this space are suffering from Ubunja Derangement Syndrome.

.

May they get well soon.

Chenzen is actually a female behind a male moniker. She, just like lilwetd.ick, is obsessed with you. After shaming iLegend repeatedly for having no innovative thinking, she is now hustling to sell her book just like iLegend is hustling to sell his. The difference is that chenzen's book is trash.

DanDeeBoss:
See as babe dey use brother heart play ping pong...... lol


You're single bro again, Welcome aboard

Don't mind him. His girlfriend has either found someone else or is playing the game of power in the relationship. If it's the latter, the girl is looking for a situation where the boy will become a slave in the relationship who is on a long chase to please her, make her stay and make her indispensable. Either ways, op should and dump the b!tch like a rotten trash.

What's wrong with these weak beta boys that can take charge of things and are blinded by this illusion called love?

oladixy:
me and my gal hv been to together for close to three years now, recently we have some disagreement and I later apologise to her after a few days of not picking her calls by sending a voice record and message on whatsapp. she refuse replying, so i let her be so she can calm down, the next day i called her number she was sounding anyhow, i thought it was becus she was angry, called her again the next day she refuse picking up and even switch off on me. i was pissed and hurt so i let be be for like a week. after then i called her to ask if she wants to break up, so i should know instead of the attitudes, she refuse giving me a definite answer but said we should forget the matter and move on that she will stop the attitudes. later after few days she stop picking my calls again an switch off on me wen i call, so i just let her be.

pls was it the right decision cus am hurt, but it i thought its better than she hurting with her attitude!

I know that you don't have sense. If you have sense, you would have dumped her. No time for nonsense. Call her now and dump her. If she confronts you, look her in the eyes like a man and say "I can't tolerate your nonsensical and childish attitude. You are not serious enough for a relationship with me. It's over and I am never taking you back." You think life is for weak people who have no self respect and self esteem? Do needful jare!

If this is true, I would say it's grave robbery in broad day light disguised as immense zeal for Dj Arafat. Lol. You think people will just dig your dead body because they miss you so much that they can't believe you are gone? You think people have your time? When his family gathered to bury him, did they gather to fry beans? Was it a publicity stunt? Why would they and Dj Arafat pull such publicity stunt? Why would Dj Arafat want to go into hiding? Does that make sense?

Anyone who thinks Dj Arafat isn't dead is stupid, lying, or hasn't heard of Dj Arafat. Grave robbers pretending that they care when they are looking for what to loot. If Dj Arafat was buried with jewelleries, gold chain and rings, you need no one to tell you that they are missing by now. This is what happens when people are hungry.

Darivie04:
In your second equation shouldn't that be (x-1)^3

Yes. It is (x - 1)³. Answer is still correct.

Darivie04:
I am very interested

Every polynomial with real coefficient can be factored over the real number into linear factor(s) and/or irreducible quadratic factor(s).

1) From your question,
P(x) - 1 = (x + 1)³(A₁x² + B₁x + C₁) —(1)
P(x) + 1 = (x - 1)³(A₂x² + B₂x + C₁) —(2)

Where A₁, B₂, C₁, A₂, B₂, and C₂ are constants.

Also noticed that
P(-1) = 1 and P(1) = -1

2) Solve eq(1) & eq(2) for P(x) and expand both of them. Then form six equations by matching coefficients. Let's call them the "coefficient" equations. Doing so will lead to

x⁵: A₁ = A₂
x⁴: 3A₁ + B₁ = B₂ - 3A₂
x³: 3A₁ + 3B₁ + C₁ = 3A₂ - 3B₂ + C₂
x²: A₁ + 3B₁ + 3C₁ = 3B₂ - A₂ - 3C₂
x: B₁ + 3C₁ = 3C₂ - B₂
D: C₁ + 1 = -C₂ - 1

3) By cleverly manipulating these equations and substituting in each of them, you will obtain the following solutions
A₁ = A₂ = -(3/8 )
B₁ = - B₂ = -(9/8 )
C₁ = C₂ = -1

You could also have written A₁, A₂, B₁, B₂, C₁, and C₂ as variables and solve the resulting system of linear equations represented by the six "coefficient" equations.

Substituting these solutions in either eq(1) or eq(2) will show that the required polynomial is
P(x) = ⅛(-3x⁵ + 10x³ - 15x)

Darivie04:
Abeg someone should help me with this problem

If (x+1)^3 divides (P(x) - 1) and (x-1)^3 divides (P(x) + 1). Find the fifth degree polynomial P(x).

The fifth degree polynomial is
P(x) = ⅛(-3x⁵ + 10x³ - 15x)

If you are interested in the workings, I could explain.

GavelSlam:
Nigerians just love hating and social media is their latest platform.

Inadequacy and misery love company.

When you tell these people to back away from a life of crime, thuggery and violence, they will call you a pussy. It seems they derive immense ego from being the tough bad thug/criminal. Many can never accept or think of the consequences of their actions. Some think their journey of crime will be fortunate and the bad things, somehow, will only happen to others and not them.

Dear cops, if my son is doing crime and he is with a gun in a shoot out with you, blow the fool's head off and make sure he's dead so that I can stop wasting my money on school fees. Monkey wey too like uranium no dey live long.

designhost003:
Good comments my guys...
Looooool, all funny comments tho. If I have advertised a career training here, you'll probably not view right... SOME PEOPLE claim to have gone to school and they don't know THE DIFFERENCE BETWEEN FACT AND TRUTH... Some just lack morals and home training and just hungry to attack any post... Even if a pastor come online to preach you'll still attack. Some don't know how to correct or even know that which is correct but know what is wrong that's why everything about their lives is also wrong.

Good people great nation!

Welcome to nairaland. This is not a cyberspace for snowflakes. Anyway, what is the difference between fact and truth? Since when did facts and truth differ? Or do you mean "fact" in another context?

Olachase:
ur brain dull na film dem day act

What's the name of the film? Babarinsa in London?

The great white hope.

chenzen:
what baffles me is how a mad man happens to be using perhaps an android phone... who told him about Nairaland

After calling out your illiteracy and owing you when you tried to defend your illiteracy, is this how you plan to digress? Mamamiya.

chenzen:
same reason y u wrote JAMB 200 times, if u understand the figures of speech in English it wouldnt be rocket science to decipher what the word "perfect" means in the OP's view... perfect is relative... what is perfect to u might not be what is perfect for ur ex girlfriends... the OP pointed that out by saying "MY VIEW"

Martinez39 is good @ advertising his foolishness on social media hoping to become a superstar. smh

You are either speaking English or not. His view is wrong. Thanks for shooting yourself in the foot and showing how unlettered you are. If I say beans means chocolate in my view, what would you say about that? Beside, his view wasn't on his meaning of the word "perfect", instead he was trying to say that little disagreements are normal and they don't mean that a family or relationship is unsuccessful. His error was wrongly using the word "perfect".

Illiterate, go back to school.

designhost003:
Who says no relationship is perfect? Yeah relationships can be 100% perfect if two imperfect people can learn to understand each other. And the fact that there are some little misunderstandings doesn't mean the relationship is not perfect. For instance, in your biological family, if you fight any of your siblings, would you classify such family as one imperfect family? Hell no!

So two people can strife and make their relationship a perfect one.

My view

Go to school, they no go hear. If you fight and quarrel in your family, then you can't use the word "perfect" to describe your family. Your family may be a successful and well rounded family but it is not perfect. Perfection is unrealistic in long term human relationships. By the way, there is nothing like "100% perfect" for Christ's sake. Either it's perfect or not. You and chenzen should go back to school.

Amakavula:
Bitch find other single friends and send them lunch and leave the relationship guy alone ! I am sure there are sweet guys around her begging for attention , but no it's the one someone else has is who she wants. I hate ladies at time. Male friends don't try this shit..

But he is just a friend. A friend nah. Platonic friendship noni.

Raalsalghul:
I don't know who you are, but I'll find you and will give you free beer.

Drink is fine only if it's Krest™.

Feminists are confused. They are screaming their feminist nonsense and criticising Regina but deep down, they wish they had Ned Nwoko. Should they maintain their feminist identity or become traditional, or should they be hypocrites by espousing feminism and then becoming traditional when meet their Ned Nwoko?

unitysheart:
Rudeboy is the man. I analyzed this with a colleague some weeks back. It is now very evident that Rudeboy is the one behind most of P Square's hit songs. I was astonished to see that One More Night by Mr P, though very dance-able, did not get much views as Reason With Me. Anyone that is familiar with P Square's singing style will agree that Reason With Me is everything P Square.

I like Rudeboy. Hin music dey jam body and e dey make sense.

BiafranBushBoy:
Lol

In few words, she summarized the hypocritical nature of 200 million people living in a caged land called Nigeria.

A country where the most hated things get the most attention.

We all hate talking about sex, but we've recorded an increase in baby mama and papa.
We hate BB9ja, but every year, the show records profit
We despise girls who have nothing to offer but sex - yet, they are the ones with the highest followers and likes on social media
Nigerians hate girls that bleach, but those girls command the most attention
In this country, we wish we had a president that is intelligent, young, and energetic, but Tinubu will win in 2023.

Welcome to Nigeria, where what we say and what we do never rhymes!

Allow the young girl, being a doctor won't get her fame - After all, Tacha in Big Brother Nigeria can't even define characteristics , but she is richer!

Seconded

1Sharon:
I have beautiful hair no need to cover it up with that mess

Seems you are going to displeas Allah. Allah akbar.

chenzen:
one more word from u and u ll be banned until Christmas. mark my word.

Trashy author.