Polynomial notation (1 Viewer)

Sanical

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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

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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

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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".
 
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jdnRof

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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.
 

nightweaver066

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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

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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.)
 

SpiralFlex

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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. :)
 

Sanical

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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

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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.
 

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