Mr Nightee (1 Viewer)

[Drongoski]

Let the 3 roots (3 repeated) be:

 

[nightweaver066]

This was apart of homework that was supposed to be done without the knowledge of sum and product of the roots.

Just using the factor, remainder and multiple root theorem (P(alpha) = P'(alpha) = 0 if alpha is a double root).

 

[Drongoski]

I see. In that case:



You can then do whatever you need to get alpha.

 

[SpiralFlex]

By remainder root theorem,








From 1, we multiple by

From 2, we multiple by

From 3, we multiple by


Hence,







Turns out we don't need 1st one.







(Since equation will not hold true.)

 

[nightweaver066]

Thanks for the SpiralFlex!

How do you know that x cannot equal to 0?

I can't tell when it is appropriate to multiply expressions by x in order to use it..

 

[SpiralFlex]

Thanks for the SpiralFlex!

How do you know that x cannot equal to 0?

I can't tell when it is appropriate to multiply expressions by x in order to use it..

(This question should state that But are constants. I think he typed the question wrong, you will need to ask him for confirmation. But generally those values won't equal to or else you can just say is a root for every question you get.)

If



( was a constant.)

This cannot be true. In general this is a very famous technique to eliminate the leading term. I just multiplied by a common multiple to make all leading coefficients equal.

 

[Parvee]

(This question should state that But are constants. I think he typed the question wrong, you will need to ask him for confirmation. But generally those values won't equal to or else you can just say is a root for every question you get.)

If



( was a constant.)

This cannot be true. In general this is a very famous technique to eliminate the leading term. I just multiplied by a common multiple to make all leading coefficients equal.

Smart guy.
*robot :L

 

[SpiralFlex]

Smart guy.
*robot :L

Human.

 

[nightweaver066]

Thanks again SpiralFlex. Makes the next question so much more easier haha.

 

[SpiralFlex]

Thanks again SpiralFlex. Makes the next question so much more easier haha.

I initially saw this post and did the very next question because I couldn't find this question. So I thought it was that one.

 

[Alkanes]

Nightweaver066 v Spiralflex

Who win?

 

[SpiralFlex]

Nightweaver066 v Spiralflex

Who win?

Nightweaver. SpiralFlex is only a baby robot. My aim is to reach Olympiad level by the time I turn 19 then Drongoski's when I am 25. Spiral is hungry...Speaking of hungry, can I eat you human?

 

[Alkanes]

Not tonight robot.

 

[SpiralFlex]

Not tonight robot.

Prehaps tomorrow.

 

[Alkanes]

If i complete my math homework.