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 #