Zero Product Property Calculator

The Zero Product Property states that if the product of two numbers equals zero, at least one of the numbers must be zero. This calculator allows users to input two factors and determine which one, if any, equals zero, solving simple quadratic or product equations.

Explanation of the Zero Product Property

If \( a \times b = 0 \), then either \( a = 0 \), \( b = 0 \), or both. This property is fundamental in solving quadratic equations by factoring.

Example

For \( (x - 3)(x + 4) = 0 \), either:

• \( x - 3 = 0 \), so \( x = 3 \)
• \( x + 4 = 0 \), so \( x = -4 \)

Common Uses

• Solving factored quadratic equations
• Algebra problems involving multiplication