Consider the polynomials p₁ (t) = 2 + t, p₂ (t) = 2 -t, and p3(t) = 4 (for all t). By inspection, write a linear dependence relation among P₁, P2, and p3. Then find a basis for Span (P₁, P2, P3}. Find a linear dependence relation among P₁, P2, and P3 = + P₁ (Simplify your answers.) P2 Find a basis for Span (P₁, P2, P3}. Choose the correct answer below. A. {P₁, P2, P3} B. {P₁, P₂} C. {+1, 2+2t} D. {P₁ + P₂, P3} P3. O E. {P₁} OF. {P3}

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