Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 5x² + 9x + 8, 3x² + 12x + 8 and 2x² + 3x + 3. a. The dimension of the subspace H is b. Is {5x² + 9x+8, 3x² + 12x+8, 2x² + 3x + 3} a basis for P₂? choose c. A basis for the subspace His :{ polynomials (where you can enter xx in place of x²) Be sure you can explain and justify your answer. }. Enter a polynomial or a comma separated list of

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