Let c be a fixed scalar and let p1 (x) = 1 p2 (x) = x + c p3 (x) = (x + c)2a. Show that B...

Let c be a fixed scalar and let p1 (x) = 1 p2 (x) = x + c p3 (x) = (x + c)2

a. Show that B = {p1 (x), p2(x), p3(x)} is a basis for

b. Find the coordinates of f(x) = a0 +a1x + a2x2 relative to the ordered basis B.

Chapter 3: Chapter Test