a question on polynomial... (1 Viewer)

[shinigami66]

is a root of and does not equal to 2,-6

i showed the first question and second question that
i)
ii)

but im up to the third part of the question that asks me to deduce if is a multiple root, then its multiplicity must be 2...

the answer is that if is a multiple root, then must also be a multiple root...
the question i wanna ask is, why is that???
thank you =]

edit: im guessing its something to do with the polynomial's symmetrical property??? mabe not... hah

 

[Timothy.Siu]

its because roots all at a time =1 right?
but u proved that roots cant be +-1
if alpha is a multiple root, then it has to be 2, because it cant be 3 or 4, or then roots all at a time wont =1
and also if alpha is a multiple root then 1/alpha is too since roots all at a time=1

 

[shinigami66]

i just aint sure why if alpha is a multiple root, then the reciprocal is also a multiple root...

 

[Timothy.Siu]

i just aint sure why if alpha is a multiple root, then the reciprocal is also a multiple root...

ok, u proved that if A is a root, then 1/A is a root right?

then if A is a multiple root, let the other root be B,
product of roots is A^2 x 1/A x B=1
AB=1
B=1/A

 

[shinigami66]

thanks a lot =] that did explain to me ^^

 

[GUSSSSSSSSSSSSS]

yes i know this is already answered

but i LOVE ur name


shinigami

lol!!!!!!

 

[SparkyZ]

You guys all missed the fact that it's actually a Symmetrical Polynomial. Therefore the roots will be reciprocals of each other.
Which only leaves two pairs of reciprocal roots, therefore the maximum multiple root is only two.

 

[addikaye03]

You guys all missed the fact that it's actually a Symmetrical Polynomial. Therefore the roots will be reciprocals of each other.
Which only leaves two pairs of reciprocal roots, therefore the maximum multiple root is only two.

yep, i saw that aswell.

 

[MC Squidge]

what text book is this from. ive seen this before

 

[shinigami66]

to GUSSSS - lolx, i used to like animes =p so u might noe where my name came from
to MC - really??? i think it was in one of my skools past paper :S XD