# Vector space and basis

Not what you're looking for? Search our solutions OR ask your own Custom question.

Consider the following elements of the vector space P3 of all polynomials of degree less than or equal to 3.

p(x)= x-1, q(x)=x+x2, r(x)= 1+x2-x3

Do these three polynomials form a basis for P3?

https://brainmass.com/math/vector-calculus/vector-space-basis-11644

#### Solution Preview

No.

We know, a basis in P3 is {1, x, x2, x3}, in another word, any ...

#### Solution Summary

This shows how to determine if polynomials for a bases for P3.

$2.49