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Zero Product Property Worksheet

Practice solving quadratic and polynomial equations using the Zero Product Property.

Grade 12 Math AlgebraZero Product Property
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.APR.B.3CCSS.MATH.CONTENT.HSA.REI.B.4

Topics

AlgebraZero Product PropertyQuadratic EquationsPolynomials
7 sections · Free to use · Printable
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Zero Product Property Worksheet

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Read each question carefully and solve for the variable(s) using the Zero Product Property. Show all your work.

1. Solve for x: (x - 5)(x + 3) = 0

2. Solve for x: 2x(x - 7) = 0

3. Factor the quadratic expression and then solve for x: x² + 8x + 15 = 0

Factored form: ( )( ) = 0

Solutions: x =   or x =  

4. Factor the quadratic expression and then solve for x: x² - 4x - 21 = 0

Factored form: ( )( ) = 0

Solutions: x =   or x =  

5. Which of the following equations has solutions x = 2 and x = -5?

a

(x + 2)(x - 5) = 0

b

(x - 2)(x + 5) = 0

c

(x - 2)(x - 5) = 0

d

(x + 2)(x + 5) = 0

6. Solve for x: 3x² - 12x = 0

7. Solve for x: (x + 1)(x - 4) = x + 1

8. The Zero Product Property can only be applied to quadratic equations.

T

True

F

False