Question

How do you find the unknowns for a quartic function :
f(x) =ax^4+bx^3+cx^2+dx+e

Given the table of values. Determine a,b, c, d and e.

x |y
0 0
1 0
2 1
3 3
4 6
5 10
6 15
7 21

Answer 1

plug in some values. After 5 steps, you will have 5 equations, which you can then solve as usual. For example, if x=3,

81a+27b+9c+3d+e = 6
and so on.

Answer 2

What do i do when I have the 5 equation do I use elimination or substitution to find the value of a,b,c,d,e ?

Answer 3

Nevermind I get it now thank you!