the set of polynomial of the form a+bx with operation
(a1+a2x)+(b1+b2x)=(a1+b1)+(a2+b2)x and
k(a1+a2x)=(ka1)+(ka2)x is this vector space

Question

the set of polynomial of the form a+bx with operation 
(a1+a2x)+(b1+b2x)=(a1+b1)+(a2+b2)x and
k(a1+a2x)=(ka1)+(ka2)x is this vector space

myininaya · Answer

i believe so

anonymous · Answer

i dont think

anonymous · Answer

myininaya is correct :) lets go over the 3 conditions just to show it though.

anonymous · Answer

i am not finding zero vector

anonymous · Answer

1) is 0 in this space? well, if a = 0 and b = 0, we get 0+0x, which is in the correct form, so it is in the space :)

anonymous · Answer

and what you typed out in the question shows closure under addition and scalar multiplication.

anonymous · Answer

sir for making 0 do we have to take both a and b equal to zero

anonymous · Answer

yes :)

anonymous · Answer

thanks thanks sir sir can you tell me upto what time you will be on line

anonymous · Answer

im on and off sporadically all night =/ no set time, im like the wind~
a very mysterious wind~
....that comes on and off sporadically~

anonymous · Answer

sir i salute you you are my angel

anonymous · Answer

a mysterious angel~

anonymous · Answer

yah sir