Basic Algebra/Solving Quadratic Equations/The Zero Product Property

Lesson

The zero property is based on the elementary concept that when you multiply two numbers and the answer is zero, then one of the numbers multiplied must be zero.

Rule: if a × b = 0, then a = 0 or b = 0.

Meaning that the zero property establishes that a or b has to equal zero in order for the result to be zero, a or b could be any random number while the other variable is zero so that result would still be zero.

Example Problems

(x+5)(x-3)=0

x+5=0 x-3=0

-5 -5  +3 +3

x=-5 x=3

Practice Problems

Easy

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Medium

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Hard