Solving Equations by Factoring

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Show your work for each problem.

1.
What is the zero product property?
1. a)If , then or
2. b)If , then or
3. c)If , then
4. d)If , then and
2.
Solve:
1. a) or
2. b) or
3. c) or
4. d) or
3.
Solve . Enter the positive solution only.
4.
Solve . Enter the non-zero solution.
5.
Solve by factoring.
6.
Solve:
1. a) or
2. b) or
3. c) or
4. d) or
7.
Solve . Enter both solutions separated by a comma (smaller first).
8.
Solve . Enter both solutions separated by a comma (smaller first).
9.
Solve by factoring.
10.
Solve by factoring.
11.
Solve:
1. a) or
2. b) or
3. c) or
4. d) or
12.
Solve . How many distinct solutions are there?
13.
Solve by factoring.
14.
A rectangle has length cm and width cm. If the area is 36 square cm, find the width.
15.
Why should you never divide both sides of by ?
1. a)You get a wrong answer
2. b)The equation becomes too complicated
3. c)You lose the solution
4. d)Division by is undefined