Math 1010 Section 5 Test2
Name:
Read all directions carefully and show all your work for full credit.
Good Luck!!!
u3
v 3 = (u
v )(u2 + uv + v 2)
u3 + v 3 = (u + v )(u2
1. (10pts)
2. (10pts)
3. (10pts)
4. (10pts)
5. (10pts)
6. (10pts)
7. (10pts)
8. (10pts)
9. (10pts)
10. (10pts)
11. (10pts)
12. (10pts)
13. (10pts)
14. (10pts)
total (140)
uv + v 2)
1. Using the rules of exponents simplify the following expression.
(4z3 y5x 3)3
(5x 2y5z 1 )4
2. Multiply out and simplify the expression (x + 3)(2x 4)(3x + 2)
3. Factor completely 5x9 5x7 + 5x6 5x4.
4. Find all the real solutions to x2 + 10x + 9 = 6x + 30
5. Find all the real solutions to 6x2 + 6x 6 = 6x2 7x + 8. (Hint: 21 8 =
12 14 = 168)
6. Find the domain of the function
p 3
p
13
3x 5x + 7 10 2x 4
x2 5x + 6
7. Perform the division
8. Perform the division
4x4 + 13x3 + 5x2 x 22
x+3
x4 + 3x3 5x2 + 4x + 1
x2 + x + 1
9. Find all the solutions to
2 +
8
=1
2
x + 5 x + 6x + 5
10. Find all solutions to the equation
p
5
x2
3
p
5
x+9=0
11. Use completing the square to nd all solutions to 2x2 + 20x 6 = 0 (Hint:
Divide by 2 on both sides rst)
12. Use the quadradic formula to nd all complex and real solutions to 10x2 5x
3 = 0.
13. Find all real and complex solutions to x3 2x2 15x + 100 = 0 when (x + 5)
is one of the factors.
p
p p
14. Multiply out and simplify ( 2x + 5)( 2x
p
5)