The set of all quadratic polynomials P2 is a vector space with standard polynomial operations. Problem In P, consider the set of vector where Po = -2z+3, , = -4z+8,p, = 1 – 2 Select all sets U that...

Hi. Can you solve this with explanation? I am beginner in algebra .

Extracted text: The set of all quadratic polynomials P2 is a vector space with standard polynomial operations. Problem In P, consider the set of vector where Po = -2z+3, , = -4z+8,p, = 1 – 2 Select all sets U that are a basis for (S) O 1. üg = z – 1, ü1 = -2x² + 1, ũz = 7z² + 21 – 6, üg = 2 O 2. ig = -1, ū = -1 – 3, üz = -1, üs = -2z io = 1+1, ũ = 1, ũz = z² + z – 2 O 4. i, = -I - 1, ü, = 1 +2 O 5. l, = 1 O 6. ig = 1 – 2, ủ = 1 3.