Consider the following set of vectors in P2. S = {x²,8 + x²} Solve for C₁ and c₂ in the following equation. If a nontrivial solution exists, state it or state the general solution in terms of the parameter t. (If only the trivial solution exists, enter the trivial solution (C₁, C₂} = {0, 0}.) c₁(x²) + c₂(8 + x²) = (0, 0) {C₁, C₂} = Determine whether the set of vectors in P₂ is linearly independent or linearly dependent. Olinearly independent O linearly dependent

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