Final answer:
The Zero Product Property states that if the product of two numbers is zero, then at least one of the numbers must be zero. This rule is crucial for solving equations, especially quadratic ones in algebra.
Step-by-step explanation:
If the product of two numbers equals zero, then one of the numbers must be zero. This idea is called the Zero Product Property.
The Zero Product Property is a fundamental concept in algebra that states if the product of two terms is zero, then at least one of the terms must be zero. In mathematical form, if a*b = 0, then either a = 0 or b = 0 (or both). This rule is essential when solving quadratic equations, as it allows us to set each factor equal to zero and solve for the variable.
As for the product rule, this may refer to multiple concepts depending on the context, such as the product rule for derivatives in calculus or the product rule of probability. The latter states that the probability of two independent events both occurring is the product of their individual probabilities.