# Math Help - Solving cubic and quartic function with 4,5 points

1. ## Solving cubic and quartic function with 4,5 points

Can you use the same methods used for finding quadratic equations given three points to find any degree of function? Using the equation:
$y=ax^{n_1}+bx^{n_1-1}+cx^{n_1-2}\cdots +dx^0$

Needing $n+1$ number of points per degree to solve?

I attempted to ask my algebra teacher but she looked dumb founded...so I just left.

2. Originally Posted by integral
$y=ax^{n_1}+bx^{n_1-1}+cx^{n_1-2}\cdots +dx^0$

Needing $n+1$ number of points per degree to solve?

For $n \in \mathbb{Z}^{+}$ I believe so

3. $n \in \mathbb{Z}^\geq
$

I believe
$\because$ it works with $y=ax^0$
Or does it matter?

4. Yes that is correct so $n \in \mathbb{Z}^{+} \cup \{0\}$

Such a model $y=ax^0$ is trivial given $x^0 = 1 ~\forall x$