Vector space basis
Problems:
Vector Space basis
P_2={a_2 x^2 + a_1 x + a_0 | a_0, a_1, a_2 E R}
which of the following is a basis for P_2?
{x^2 + x, x^2 +5x, x}
{x^2, x^2 + 5, 3}
{x^2 + x + 1, x + 5, 3}
{x^2 + x + 1, x + 5, 0}
{x + 1, x + 5, 3}
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