Consider the polynomials p1(t)=1+t,p2(t)=1−t and p3(t)=2 (for all t)

[Dhanalakshmi]

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}