Let P2 denote the vector space of all polynomials with degree less than or equal to 2. (a) Show that B = {1 + x + x 2 , 1 + 2x − x 2 , 1 − 2x − x 2} is a basis for P2. (b) Find the coordinate vector of p(x) = 1 + 2x + 3x 2 relative to the basis B.

Step-by-ste {1 + x + x 2 , 1 + 2x − x 2 , 1 − 2x − x 2} is p explanation:

FV=P{[1 + R]^N - 1/ R}

FV =$100 x {[1 + 0.02/12]^(4*12) - 1 / (0.02/12)}

FV=$4,992.90 - This should be the balance in the savings plan after 4 years.

P.S. Do the math in the above formula and you should get the same answer that I

Step-by-step explanation: so yah I think this is right lol! mark as brainest