Question

Graph the following polynomial and write it in factored form.Plot all of the points that fit on the axes.

Answer 1

You have the following function:

`f(x)=x^3+2x^2-64x-128`

In order to graph the previous curve, calculate the values of the f(x) in an interval for x, for instance, in the interval (-2,1):

`\begin{gathered} f(-2)=(-2)^3+2(-2)^2-64(-2)-128=0 \\ f(-1)=(-1)^3+2(-1)^2-64(-1)-128=-63 \\ f(0)=(0)^3+2(0)^2-64(0)-128=-128 \\ f(1)=(1)^3+2(1)^2-64(1)-128=-189 \end{gathered}`

The graph is shown below: