Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 20- (46x² + 37x), 11x² + 10x - 4 and 9- (21x² + 17x). - a. The dimension of the subspace H is b. Is {20 - (46x² +37x), 11x² + 10x − 4,9 − (21x² + 17x)} - a basis for P₂? choose 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 x²)

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