- 419

- 0

**1. Homework Statement**

Find a spanning set for the vector space consisting of all polynomials of the form:

(a+b+c)x^3+(a-2b)x^2+bx-c+a

**2. Homework Equations**

**3. The Attempt at a Solution**

a(1,0,1,1)+b(0,1,-2,1)+c(-1,0,0,1). So my spanning set is : {(1,0,1,1),(0,1,-2,1),(-1,0,0,1)}