Let P, be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 6x - 23

Let P, be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 6x² - 23² - 16, 13x - 3x² + 7 and 3x² - 12x -8.a. The dimension of the subspace H isb. Is {6x² - 23x - 16,13² - 3x²+7, 3x² - 12x-8} a basis for P2 basis for P 2. 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}