Table of Contents
Definition
If a × b = 0 then a = 0 or b = 0 or a = b = 0
A product of factors is zero if and only if one or more of the factors is zero.
Examples
Solve x2 + x – 12 = 0
You can factor the left side as:
(x + 4)(x – 3) = 0
By the zero product property, either
x + 4 = 0 or x – 3 = 0
Which means
x = -4 or x = 3
Standard Form of an Equation
The Standard Form of an equation is:
“some expression” = 0
Examples
Standard form of 2x = 7 is 2x – 7 = 0