Given that p1=1−x, p2=5+3x−2x2 and p3=1+3x−x2, consider the following statements:   1.  {p1,p2,p3} is linearly independent.   2.  {p1,p2,p3} is a basis for P2.   3.  {p1,p2,p3} spans P2.   4.  {p1,p2,p3} is linearly dependent.   5.  {p1,p2,} is linearly independent.    A.  Statements 4 and 5 are true.  B.  Statements 1 and 2 are true.  C.  Statements 1 and 3 are true.  D.  Statements 3 and 5 are true.  E. Statements 2 and 5 are true

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