The zero product property states that for any real numbers a and b, if ab = 0, then either a equals zero, b equals zero, or both a and b equal zero.
Example #1
If 6 × b = 0, then b must be zero since 6 is not equal to zero.
Example #2
If a × 10 = 0, then a must be zero since 10 is not equal to zero.
Example #3:
If a × b × 2 = 0, then we can have any of the following 3 situations:
0 × b × 2 = 0 ( a = 0 )
a × 0 × 2 = 0 ( b = 0 )
0 × 0 × 2 = 0 (a = 0 and b = 0)
The zero product property is often used when solving quadratic equations by factoring.
For example, solve x^{2} + 8x - 20 = 0
x^{2} + 8x - 20 = 0 (Original equation)
(x - 2)(x + 10) = 0 (Factored form)
x - 2 = 0 or x + 10 = 0 (Zero product property)
x = 2 or x = -10
The solutions of the equation are 2 and -10.
Nov 21, 19 02:38 PM
What is a probability line ? Things that you must know before doing problems ...
Basic math formulas
Algebra word problems
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.