1. How many possible roots that a fourth degree polynomials can have?

a. 4
b. 3
c. 5
d. 2

2. This test uses the leading term of the polynomial function to determine the right-hand and the left-hand behaviors of the graph.

a. Turning points
b. Intercepts of the graph
c. Leading coefficient Test
d. Vertical line test

3. It tells how many times a particular number is root for the given polynomial.

a. Multiplicity of roots
b. y-intercepts
c. turning points
d. x-intercepts

4. What are the end behaviors of the graph of
[tex]f(x) = - x{}^{3} - 4x {}^{2} + 3x - 12[/tex]
a. rises to both directions
b. falls to both directions
c. rises to the left and falls to the right
d. falls to the left and rises to the right

6. If you will draw the graph of
[tex]y = x(x + 2) {}^{2} [/tex]
,how will you sketch it with respect to the x-axis?

a. Sketch it crossing both (-2,0) and (0,0)
b. Sketch it crossing (-2,0) and tangent (0,0)
c. Sketch it tangent at (-2,0) and crossing (0,0)
d. Sketch it tangent at both (-2,0) and (0,0)

7. Your classmate Louise encounters difficulties in showing a sketch of the graph of
[tex]y = 2x { }^{3} - 7x {}^{2} - 7x + 12[/tex]
.You know the quickest technique is the Leading coefficient test. You want to help Louise in her problem. What hint/clue will you give?

a. The graph falls to the left and rises to the right
b. The graph rises to the left and falls to the right
c. The graph rises to both left and right
d. The graph falls to both left and right



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