Thread: generate the set of polynomials

Dose the set S= {v1, v2} generate the set of polynomials of degree
less than or equal to two (p1)
Where v1=x+2 and v1=x²+1? Justify²!

No, because the vector space of polynomials of degree less than or equal to two is a three-dimensional vector space and you've only got two vectors there.