# What is the polynomial equation for the points passing through (-2,0), (0,0), (1,-4), (2,0)?

##### 1 Answer

#### Explanation:

First let defined a polynomial function in factor form as follow

where

We are given the following x- intercepts

And the value of

We can re-write the x-intercepts in the factor forms like this

the general form is

#f(x) = a(x(x^2-4)#

#f(x) = a(x&3 - 4x)#

Since

So the general polynomial function that passing through the points

#f(x)= 4/3 x^3 - (16x) /3 #