Answer:
The equation has zeroes at -4, 0 and 4 and is a minimum cubic degree or a 3 degree equation.
Step-by-step explanation:
The polynomial has roots at places where f(x) cuts the x axis.
The function cuts the x-axis at 3 points: 4, -4, and 0.
It cuts the axis at the point, x=0; x=4; x=-4
Therefore, the points equation has to be of the form, k*x*(x-4)*(x+4)*p(x)
where k is any arbitrary constant and p(x) is a polynomial of any degree depending on what the equation does in the region and (5,∞) and (-∞,-5).
Therefore, the equation has zeroes at -4, 0 and 4 and is a minimum cubic degree or a 3 degree equation.
