Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by x − x², - (x² + 2x + 1) and 3x² + 9x + 4. a. The dimension of the subspace H is b. Is {x-x²,- (x² + 2x + 1), 3x² + 9x +4} a basis for P₂? choose explain and justify your answer. c. A basis for the subspace His Be sure you can Enter a polynomial or a comma separated list of polynomials.

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