### MATH 100 Quiz 2

**Name:**

You may use a calculator on this quiz. You may not use a cell phone or
computer. To receive full credit please show your work carefully and
give justifications for your answers. If you find that you are
spending a lot of time on one problem, leave it blank and move on to
the next. There are questions on both sides of this page.

- (30 points) Find all real values of x for which x
^{3} + 5x^{2} + 3x = 0.

- (30 points) A 13 foot ladder leans against a building. The top
of the ladder is 12 feet up the building. How far from the building
is the base of the ladder?

- (20 points) Sketch and label the axes and units of a Cartesian
coordinate plane below.

- (20 points) Plot the following points on the coordinate plane you
drew above:

(1,3), (5,0), (2, -4).

**Bonus** (5 points) Give the equation of the circle for which all
points on the circle are distance (radius) 3 away from the center
point (2,4).