Polynomial notation (1 Viewer)

[Sanical]

Just wondering... If you let the roots of a polynomial be:
Can you express products of root as:



or



or

Sum of product of roots

I'd rather a) but can you say that?

 

[nightweaver066]

I thought product of roots was simply


I don't think you should use this notation though.. I used this notation in my latest 3U test and i was told not to use it.

 

[SpiralFlex]

It depends, are you defining those roots as ?

If you are use what Nightweaver said or a).

Also strictly speaking, I think b) and c) are a bit ambiguous, depends on what your teacher "likes".

 

[jdnRof]

As nightweaver066 has said, you could use that notation or simply say "product of roots" since you're not adding anything up.

I would use option a) for one, two or three roots however.

 

[Sanical]

Ah ok so wait, what if I want to do sum of roots 2 at a time? What would be the notation then?

 

[nightweaver066]

Ah ok so wait, what if I want to do sum of roots 2 at a time? What would be the notation then?

- 2 roots at a time

- 3 roots at a time

 

[Sanical]

- 2 roots at a time

- 3 roots at a time

So for 3 roots at a time, I can still use gamma even though I didn't let it be one of my roots?

 

[SpiralFlex]

Ah ok so wait, what if I want to do sum of roots 2 at a time? What would be the notation then?

Letting the roots be,

The sum of the roots two at a time would be:

 

[nightweaver066]

So for 3 roots at a time, I can still use gamma even though I didn't let it be one of my roots?

I'm not too sure myself, but it's just the way i was taught.

I really wouldn't worry too much about this though..

 

[SpiralFlex]

So for 3 roots at a time, I can still use gamma even though I didn't let it be one of my roots?

Only once you have defined the roots to be

For product of the roots use (No one is going to mark you down.)

 

[Sanical]

Only once you have defined the roots to be

For product of the roots use (No one is going to mark you down.)

But in my example, I never used gamma or delta, so that means I can only use option b) or c)? Is b) even allowed?

 

[nightweaver066]

But in my example, I never used gamma or delta, so that means I can only use option b) or c)? Is b) even allowed?

Perhaps after defining them as , you could state afterwards that

 

[Sanical]

But then I may as well just write sum of products three/two at a time.
Is b) a sufficient notation?

 

[SpiralFlex]

But in my example, I never used gamma or delta, so that means I can only use option b) or c)? Is b) even allowed?

I would recommend you saying let the roots be . Again I perceive b) to be ambiguous.

c) is a definite no no because you are not stating how many at a time.

The best thing to do is satisfy your teacher, email him.

 

[cutemouse]

I prefer:
and ...

 

[Sanical]

I would recommend you saying let the roots be . Again I perceive b) to be ambiguous.

c) is a definite no no because you are not stating how many at a time.

The best thing to do is satisfy your teacher, email him.

*her

I think c) should have said "product of roots" instead of "sum of product of roots"

What do you mean by "saying let the roots be "? In this case I can't since the roots are reciprocals. Or do you mean what nightweaver said?

 

[SpiralFlex]

I prefer:
and ...

 

[SpiralFlex]

*her

I think c) should have said "product of roots" instead of "sum of product of roots"

What do you mean by "saying let the roots be "? In this case I can't since the roots are reciprocals. Or do you mean what nightweaver said?

I meant what Nightweaver said.

"Product of roots" is acceptable, however notations are quicker.

 

[Sanical]

I prefer:
and ...

Wth, never seen that before. But is it any different in saying ?

 

[SpiralFlex]

Wth, never seen that before. But is it any different in saying ?

You can use a)...