Let P2 be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 3x² - 2x - 1, 12x²-6x - 5 and 22x 45x2+ 19. - a. The dimension of the subspace H is ☐. b. Is {3x² - 2x 1, 12x²-6x-5, 22x45x² + 19} 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.

Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 14x² − 17x + 10, 17x – 19x² – 11 and 9x² - 10x + 6. a. The dimension of the subspace H is b. Is {14x² - 17x + 10, 17x - 19x² – 11,9x² – 10x +6} a basis for P₂? choose c. A basis for the subspace H is { (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 polynomials

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 {

Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 2x27x-4,- (2x + 1) and 2x² + x. a. The dimension of the subspace H is b. Is {2x27x-4,- (2x + 1), 2x² + x} a basis for P₂ ✓ choose basis for P_2 not a basis for P_2 c. A basis for the subspace H is { 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 polynomials,

Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 1 - 4x², 11- (6x² +7x) and x=x²-1. a. The dimension of the subspace His b. Is {1 - 4x², 11- (6x² +7x),x-x² - 1} a basis for P₂? choose c. A basis for the subspace H is { (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 polynomials

Let ₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned by 7x - 2x² + 2, ·(x² + 2x +2) and 3x − x² + 1. 1 a. The dimension of the subspace H is b. Is {7x − 2x² +2,- (x² + 2x +2), 3x − x² +1} a basis for ➡? choose Be sure you can explain and justify your answer. c. A basis for the subspace His { Enter a polynomial or a comma separated list of polynomials (where you can enter xx in place of x²)

Let P₂ be the vector space of polynomials of degree at most 2. Determine the coordinates of the polynomial p(x) = x+x²-2 relative to the basis B = {1, x -2, x²-x}.