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Zero Product Property Worksheet

Practice applying the Zero Product Property to solve quadratic equations and other polynomial equations.

Grade 10 Math AlgebraZero Product Property
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.APR.B.2CCSS.MATH.CONTENT.HSA.APR.B.3

Topics

algebrazero product propertyquadratic equationspolynomialsfactoring
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. Find the roots of the equation: x(2x + 7) = 0

3. If (y + 8)   = 0, then y = -8 or y = 4.

4. The solutions to (x - 2)(x + 9) = 0 are x = 2 and x =  .

5. Which of the following equations has solutions x = 0 and x = -6?

a

(x - 6)x = 0

b

x(x + 6) = 0

c

(x + 6)(x - 6) = 0

d

x^2 - 36 = 0

6. Solve the quadratic equation by factoring: x^2 + 5x + 6 = 0

7. Solve for z: 3z^2 - 12z = 0

8. The Zero Product Property states that if the product of two or more factors is zero, then at least one of the factors must be zero.

T

True

F

False