Name
. Math 152B
Midterm I Please do all
of the following problems. Credit
earned will be based on the steps that you show that lead to the final solution.
Good Luck! Problem
1: Factor the expression completely: A)
x4 - 9x2
B)
x2 + 3x - 54
C)
6x2 + 11x - 10
D)
128xyz3 + 54x4y
Problem
2: Perform the indicated operations and express your answer in
simplest form. A
2x2 - x - 1 x2
- 6x + 8 B
x2 + 2 xy + y2 y
+ x
Problem
3: Solve the following equations A.
x3 - 2x2 + x = 0
B.
4x2 = 15 - 4x
Problem
4: Solve the following inequalities A.
|4 - 3x| < 2
B.
|3x + 1| < 0
Problem
5: There is a lookout
post situated in the center of a 3 mile circular trail.
How far is the lookout post from the trail?
Problem 6: Please answer the following true or false and explain your reasoning. A. If all terms of a trinomial are positive, all terms of both binomial factors will be positive Solution B.
The solution to the inequality |x - 4| <
-1 is the interval [3,5]. Extra Credit:
Write
down one thing that your instructor can do to make the class better. (Any constructive remark will be worth full credit)
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