Let P be the vector space of all polynomials of degree at most 3 with real coefficients, and let H = {a+bt³|a and b are real.} Which of the followin is/are true? A. {1, 3 is linearly independent in H. B. {1, ³} is a basis for H. C. H is a subspace of P. OA and B only B and C only A only OA and Conly A, B, and C

Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by - 3x + 2, 12x – 7x2 – 2 and 3x2 – 3x + 1. 5x2 a. The dimension of the subspace H is b. Is {5æ? . - 3x + 2, 12x – 7x? – 2, 3x? – 3x + 1} a basis for P2? c. A basis for the subspace H is {

Which one of the following is not a basis for the vector space consisting of polynomials of degree less or equal to 2?  See attached file.

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