Question

find a polynomial f(x) that satisfies the equation xf''(x) + f(x) = x^2

Answer 1

use a quadratic equation, then solve for the coefficients (a,b,c)

Answer 2

i did that, but im stuck on finding each coefficient.

Answer 3

f(x) = ax^2 +bx +c

f''(x) = 2a