Let p(x) = 7 -12x - 8x^2 + 12x^3. Find the coordinate vector of p relative to B.

Hint: Determine {c0, c1, c2, c3} such that p(x) = the sum from i = 0 to 3 of c_i * H_i(x)

H_0(x) = 1

H_1(x) = 2x

H_2(x) = -2 + 4x^2

H_3(x) = -12x + 8x^3

x is in (-infinity, infinity)

Can someone please explain to me how to do this problem?