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# 9.7: Zero Product Principle

Difficulty Level: Basic Created by: CK-12
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Practice Zero Product Principle

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### Vocabulary Language: English Spanish

factored form

The factored form of a polynomial means it is written as a product of its factors.

expanded form

Polynomials can be written in expanded form or in factored form. The expanded form contains sums and differences of different terms.

Zero Product Property

The only way a product is zero is if one or more of the terms are equal to zero: $a\cdot b=0 \Rightarrow a=0 \text{ or } b=0.$

Zero Product Rule

The zero product rule states that if the product of two expressions is equal to zero, then at least one of the original expressions much be equal to zero.

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