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GSE Algebra 2Y
Polynomials Test #2 Review:
Name _____________________________
Quadratics and Complex Numbers
Find the product of the complex number and its conjugate:
1.
2+i
2. – 4 – 7i
3.
5i
Determine the value of c that allows you to complete the square by creating a perfect square
trinomial. Rewrite the trinomial in binomial form.
4. x2 + 14x + _______
5. x2 – 26x + ________
__________
___________
6. x2 + 11x + _______
__________
Use the Zero Product Property to find all the solutions to the already factored equations.
7. x(x + 8) = 0
________
8. 2x(3x + 4)(2x – 5) = 0 _________________
Simplify the radical expressions completely. Rationalize the denominators.
6.
224
__________
7. 9 5  8 10
8.
60
10
__________
9.
14 2

3
3
_________
_________
Simplify the complex number expression. Rationalize the denominators. Write answers in
standard form.
10.
-96
12. (6-2i)(1 + 5i)
14.
-40 + 16
16. 5 1372
__________
11. (13+2i) - 4(2-i)
__________
13.
2i
3 - 4i
___________
___________
15.
4 i
5i
_____________
_____________
17.
9 + 5i
4 - 7i
_____________
___________
SOLVE BY FACTORING
16. x2 + 7x + 10 = 0
____________
17. 3x2 – 12 = 0
___________
18. 3x2 – 10x + 8 = 0
___________
19. 4x2 + 12x – 40 = 0
___________
20. 7x2 + 14x = 0
___________
21. 9x2 – 100 = 0
___________
SOLVE BY TAKING SQUARE ROOTS
19. x2 = -338
____________
20. 2x2 - 18 = 0
___________
21. 5(x + 1)2 - 13 = 27
___________
22. 3(x + 4)2 = 108
___________
23. -6x2 - 11 = 49
___________
24. (x + 1)2 = -4
___________
24. x2 + 4x + 54 = 0
___________
Solve by Completing the Square
23. x2 + 18x – 5 = 0
___________
SOLVE USING THE QUADRATIC FORMULA
-b ± b2 - 4ac
x=
2a
25. 8x2 + 4x + 3 = 0
___________
26. 2x2 – 5x – 4 = 0
___________
27. 3x2 + 10x + 4 = 0
___________
28. 18x2 – 20x + 9 = 0
___________
29. x2 – 3x + 5 = 0
___________
30. 12x2 – 41x + 72 = 0
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