Solving A 3rd degree polynomial with unknown coefficient of x^2 and x

[Tenotea]

Please i really need a solution to this question. It goes thus

Solve the equation by the remainder theorem
x³-(5+a)x²+(6+5a)x-6a=0

 

[MarkFL]

Hello, and welcome to FMH!

Suppose:

[MATH]f(x)=x^3-(5+a)x^2+(6+5a)x-6a[/MATH]
What is \(f(a)\)?

 

[Tenotea]

Hello, and welcome to FMH!

Suppose:

[MATH]f(x)=x^3-(5+a)x^2+(6+5a)x-6a[/MATH]
What is \(f(a)\)?

If that is a direct question to me, I don't know. But if it is regarding the question, it wasn't given


Okay, I just solved it and i got the value of
f(a)=2a³

 

[MarkFL]

If that is a direct question to me, I don't know. But if it is regarding the question, it wasn't given

It was a direct question to you. Do you know how to compute \(f(a)\)?

 

[tkhunny]

You were given the question. You put it in the first post.
You were also asked another question. How do you evaluation a polynomial for a given value?
One more question. How's your "Synthetic Division"? (aka Cramer's Other Rule)

 

[Tenotea]

It was a direct question to you. Do you know how to compute \(f(a)\)?

Yes I do. And my answer was 2a³

 

[Tenotea]

You were given the question. You put it in the first post.
You were also asked another question. How do you evaluation a polynomial for a given value?
One more question. How's your "Synthetic Division"? (aka Cramer's Other Rule)

My Synthetic Division is okay

 

[Tenotea]

THANK YOU SO MUCH FOR YOUR ASSISTANCE. I've got the answer. Should I upload the solution or there is no need for that?

 

[pka]

Please i really need a solution to this question. It goes thus

Solve the equation by the remainder theorem
x³-(5+a)x²+(6+5a)x-6a=0

\(\displaystyle f(a)=(a)^3-(5+a)(a)^2+(6+5a)(a)-6a=\Large 0\)
You need to double check your work.

 

[MarkFL]

THANK YOU SO MUCH FOR YOUR ASSISTANCE. I've got the answer. Should I upload the solution or there is no need for that?

I always like it when people follow through and post the solution. It makes the thread even more useful to others who read it.

 

[Steven G]

Please i really need a solution to this question. It goes thus

Solve the equation by the remainder theorem
x³-(5+a)x²+(6+5a)x-6a=0

Can you please state the remainder theorem and then try to use it for your function?