Which of the following is (are) a basis of P (R), the space of polynomials with real coefficients of d at most n? (Choose all that apply) O{n} O {1, x,x²,...,x}(degree of increases by 1 up to m) ○ {1, x,x²,..., O {x, x²,..., ,a"}(degree of x increases by 1 up to n) O {2, x, 3x²,..., ,2-1} (degree of increases by 1 up to n - 1) O [25, x, x¹,...,34"}(degree of increases up to 1) O {5, 2x, x², ..., 9a} (degree of increases by 1 up to n) -¹} (degree of increases by 1 up to n − 1)

im submitting same question again please answe #2

1. Determine whether the following polynomials span P. =1+x, p, = 1 – x, P2 P3D1+x+x², P, = 2-x² 3D2 3:28 PM 豆 IA 2/23/2022 e Type here to search WQHD | 165HZ NOG ZEPHYRUS 100% DC-P3 PANTONE Validated F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 ESC E3 O/京 DELETE AURA 23 24 4 @ % & 7 { } TAB Q W E T Y P. [ 1O 15 林

Which of the following sets of polynomials span R² O A and B OC= {2-3t, 5t+t², −3+ 4t+2t², 1-8t - 2t²} OB and C OB={1-², 1-3t+5t², -3+5t-7t², -4+5t - 6t²} O A = {1,1,²} A and C OA, B and C