Yes, that is correct. And you can find the coefficients by equating coefficients of like powers to get three equations or by simply choosing 3 values for x.

A spanning set is a set that spans all of . If a, b, and c are any numbers, can you find , , and so that ?2) Is a spanning set for ?

I really just need a hint for this question on how to start it up.

What exactly does it mean is it a spanning set for

(If a spanning set is also linearly independent, then it is a basis.)