For the following exercise, find the x-intercepts of the polynomial functions. Express all intercepts in point (ordered pair) form:

f(x)=5x^3 -20x^2 +2x-8

For the following exercise, use the Intermediate Value Theorem to confirm that the given polynomial has at least one zero within the given interval:

between x = -5 and x = -4

For the following exercise, graph the polynomial functions. Note x- and y-intercepts, multiplicity, and end behavior:

f(x)=x(x+4)(x-4)(x+7)

For the following exercise, use the given information about the polynomial graph to write the equation:

Degree 3; zeros at ; passes through the point (2, -84)

A cylinder has a radius of units and a height of 5 units greater than the radius. How do you express the volume of the cylinder as a polynomial function?