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s 1. Do the polynomials t 3 +2 t+ 1,t 2t +2,t 3 +2,t 3+ t 25 t +2 span P3 ? 2. S is

s 1. Do the polynomials t 3 +2 t+ 1,t 2t +2,t 3 +2,t 3+ t 25 t +2 span P3 ? 2. S is the set of vectors in R4 ( S={ v1 , v 2 , v 3 , v 4 , v 5 } ) v 1=(1, 2,2, 1) v 2=(3,0,4, 3) v 3=(2, 1,1, 0,1) v 4=(3, 3,9, 6) v 5=(9, 3,7,6) 3. Show the axioms that the set of second degree polynomials defined as: P2={ p ( x ) } p ( x ) =a x 2+ bx+ c where a , b , c R }

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