MATH 100 Quiz 2

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.
  1. (30 points) Find all real values of x for which x3 + 5x2 + 3x = 0.










  2. (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?










  3. (20 points) Sketch and label the axes and units of a Cartesian coordinate plane below.















  4. (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).