- #1
Buri
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Homework Statement
I need to find a basis for the following:
S = {f are polynomials of degree less than or equal to 4| f(0) = f(1) = 0}
2. The attempt at a solution
A general polymial is of the form:
p(x) = ax^4 + bx^3 + cx^2 + dx + e
Now for p(0) = p(1) = 0 I must have:
e = 0 and a + b + c + d + e = 0
Which basically becomes:
a + b + c + d = 0.
Here is where I get stuck. I'd usually solve for a variable and then substitute it back into the polynomial and then group like coefficients to get a basis, but it just isn't working!
Any help?
NEVERMIND! I've figured out what I was doing wrong lol Apparently I don't know how to factor LOL
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