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[QUE/VS-02010]

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PRO/VS-02010

Consider the set of all polynomials \(p(t)= a_0 +a_1 t + a_2 t^2\) for which

  1. \(p(0)=0\)
  2. \(2p(0)=p(1)\)
  3. \(p(t)=p(1-t)\)
  4. \(p(1) > 0\).

Give the dimensions of the vector spaces wherever appropriate and give a possible basis?

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4727:Diamond Point

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