Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 34x? + 31x – 14, 1– (5x? + 7x) and 15x? + 14x – 6. a. The dimension of the subspace H is b. Is {34x? + 31x – 14,1 – (5x² + 7x) , 15z2 + 14x – 6} a basis for P2? choose v Be sure you can explain and justify your answer. C. A basis for the subspace H is { }. Enter a polynomial or a comma separated list of polynomials (where you can enter xx in place of r2)

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