You may use a calculator on this quiz. You may not use a cell phone or computer. If you wish partial credit for incorrect answers, 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.

- (10 points; 2.1:5) Simplify: (-3+i)(-3-i)

(Remember that i^{2}= -1.) - (20 points; 2.3:8) For the polynomial function whose graph is shown on the right:
a) Is the leading coefficient positive or negative?

b) Is the degree odd or even?

c) True or false: (x-2) is a factor.

d) Does the zero at x=1 have odd or even multiplicity?

- (35 points; 2.2:6) The graph of the function f(x) = -3x
^{2}+ 12x - 6 is a parabola. Give the coordinates of the vertex of this parabola. (Your answer should be of the form (x,y).) - (2.6:2) Show your work as you answer questions about the following rational function:
H(x)= -3x ^{2}(x-3)(x+4)

a) (10 pts) What is the domain of H(x)?b) (10 pts) For what values of x does H(x) = 0?

c) (5 pts) What are the vertical asymptotes of the graph of H(x), if any?

d) (10 pts) What are the horizontal asymptotes of the graph of H(x), if any?