Zero Product Property

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Show your work for each problem.

1.
What does the Zero Product Property state?
1. a)If , then or
2. b)If , then
3. c)If , then or
4. d)If , then and
2.
Solve: . What is the positive solution?
3.
Solve: . What is the larger solution?
4.
Why can't we apply the Zero Product Property to ?
1. a)The product is not equal to zero
2. b)The equation is quadratic
3. c)There are only two factors
4. d)The factors are too simple
5.
Solve
6.
Solve . What is the negative solution?
7.
How many solutions does have?
1. a)2
2. b)1
3. c)0
4. d)3
8.
Solve by factoring first
9.
Solve . What is the sum of both solutions?
10.
Solve
11.
What mistake was made? Student work: , divide by , so , thus .
1. a)Lost the solution by dividing
2. b)The equation was already solved
3. c)Should have added 5 instead
4. d)Factoring was done incorrectly
12.
Solve using the difference of squares
13.
Solve . What is the product of both solutions?
14.
How many solutions does have?
1. a)0
2. b)2
3. c)1 (double root)
4. d)Infinitely many
15.
A ball's height is meters. When does it hit the ground?
16.
Solve
17.
If the solutions to an equation are and , what is the constant term when the equation is written as ?