Determine if fifth degree polynomials are a vector space? Do they fit the requirements

Question

Determine if  fifth degree polynomials are a vector space? Do they fit the requirements

anonymous · Answer

James I proved the rest of the identities on my own LOL :D

amistre64 · Answer

what are the requirements?

jamesj · Answer

No.  

For example, here are two fifth degree polynomials :
v1(x) = x^5 + x^4 and v2(x) = -x^5, 

But
v1(x) + v2(x) = x^4,
which is not a fifth degree polynomial.

anonymous · Answer

ohhh i see

jamesj · Answer

That being said, the set $ P_5 $ being the defined as the set of all polynomials $ \it up \ to $ fifth degree is a vector space.

amistre64 · Answer

ive been wondering if James has a pool of knowledge floating around inside his skull; or if its really a rolodex next to the computer with all this stuff in it :)

anonymous · Answer

heheehehe

jamesj · Answer

I bought it off a Tibetan voodoo monk: "The Book of Answers".  Cost me fifty gold dragoons and the blood of a che-wang white bat.  But it was worth it.

amistre64 · Answer

whats on page 42?

jamesj · Answer

the multiplication table for for 7.

amistre64 · Answer

I must have a later edition then :/  mine says:   *

anonymous · Answer

LOL   u guys r funny Thanks  for ur help :D

jamesj · Answer

When I say the multiplication table for 7, I mean the whole thing.  It's in infinitely small type.  Can't read a damn thing.