Problem. Consider the polynomials P1, P2, P3 P₁ defined by P₁(t) = 1+t P₂ (t) = 1-t ps(t) = 2. By inspection, write down a linear dependence relation among the three polynomials. Then find a basis for W = Span({P1, P2, P3}). Is it the case hat W = P₁? Explain your answer.

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