- #1
tsMore
- 3
- 0
I am drawing some strange mental blank with one question in my final exam review.
V is the set of all polynomials that are of the form p(x) = cx^2 + bx+a
U is a subset of V where all members satisfy the equation p(5) =0
Find a basis for U.
I am not sure why I am having so much of a problem with this one, it shouldn't be that hard. With 5 subed in you get polynomials of the form
25x^2+5x+a = 0
I guess I am having a hard time relating this a back to a basis. Isn't the basis for V just {x^2, x, 1)?
Anyway thanks in advance for all your help!
Homework Statement
V is the set of all polynomials that are of the form p(x) = cx^2 + bx+a
U is a subset of V where all members satisfy the equation p(5) =0
Find a basis for U.
I am not sure why I am having so much of a problem with this one, it shouldn't be that hard. With 5 subed in you get polynomials of the form
25x^2+5x+a = 0
I guess I am having a hard time relating this a back to a basis. Isn't the basis for V just {x^2, x, 1)?
Anyway thanks in advance for all your help!