Question: Consider the polynomials p 1 (t) = 1 + t, p 2 (t) = 1 - t, and P 3 (t) = 2 (for all

Consider the polynomials p₁(t) = 1 + t, p₂(t) = 1 - t, and P₃ (t) = 2 (for all t). By inspection, write a linear dependence relation among P₁, P₂, and p₃. Then find a basis for Span (P₁, P₂, P₃}.

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