In the branch of mathematics called algebra, the **zero-product property** states that the product of two nonzero elements is nonzero. In other words, it is the following assertion:

If, then either or .

The zero-product property is also known as the **rule of zero product** or **nonexistence of zero divisors.** All of the number systems studied in elementary mathematics — the integers, the rational numbers, the real numbers, and the complex numbers — satisfy the zero-product property. In general, a ring which satisfies the zero-product property is called a domain.

Read more about Zero-product Property: Algebraic Context, Examples, Non-examples, Application To Finding Roots of Polynomials

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