Find the function Quadratic Functions

Question

Find the function f(x)=ax^3+bx^2+cx+d, for which f(-3)=-144, f(-1)=0, f(1)=8, f(2)=21 and simplify

Answer 1

144 = -27a + 9b - 3c + d

0 = -a + b - c + d

8 = a + b + c + d

21 = 8a + 4b + 2c + d

 

From here, solve for each variable, then put them back into the function.