Basic Algebra/Solving Quadratic Equations/The Zero Product Property

From Wikibooks, open books for an open world
Jump to navigation Jump to search

Vocabulary[edit | edit source]

Lesson[edit | edit source]

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[edit | edit source]

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

x+5=0 x-3=0

-5 -5  +3 +3

x=-5 x=3

Practice Games[edit | edit source]

Practice Problems[edit | edit source]

Easy


Medium


Hard