Recent content by mtb4x4mad

Thanks for your help with this, I originally decided to post this query on here for a simple answer, but it has turned into more of a discussion. As such, I haven't understood everything that has been raised here. Is there a website that simply defines what has been asked in the question?

Only the first term of the polynomial doesn't cancel, therefore a0 remains.

Yes, I was clearly confused about this point.

So you are saying that the question itself doesn't make sense? I copied and pasted the question from the paper itself, so there shouldn't be any crucial words missing, however I always thought a vector space was a collection of vectors, rather then simply a polynomial which is just one vector...

Homework Statement I have been going through some past exam papers and have come across this vector space question that I cannot find relevant examples for. Consider the vector space V of n-th order polynomials p(x) = a0 + a1x + a2x^2 +· · ·+anx^n, where a0,a1,a2, ...,an are real numbers, and...