**What property is applied in solving quadratic equation by factoring?**

**What property is applied in solving quadratic equation by factoring?**

zero - sum property

Zero - root property

Square root property

Zero - Factor Property

The correct property applied in solving a quadratic equation by factoring is the **Zero-Factor Property**. 

This property states that if the product of two factors is zero, then at least one of the factors must be zero. This allows us to set each factor of a factored quadratic equation equal to zero and solve for the variable.

For example, if we have a factored equation like:

\[
(x - 3)(x + 5) = 0
\]

Using the **Zero-Factor Property**, we set each factor to zero:

\[
x - 3 = 0 \quad \text{or} \quad x + 5 = 0
\]

Thus, \(x = 3\) or \(x = -5\).

### Do you want more details or have any questions?

Here are 5 related questions:

1. How do you factor a quadratic equation?
2. What is the difference between solving by factoring and using the quadratic formula?
3. Can all quadratic equations be solved by factoring?
4. What are some common factoring techniques for quadratic equations?
5. How does the Zero-Factor Property relate to the graph of a quadratic function?

**Tip**: When factoring quadratics, always look for the greatest common factor (GCF) first before applying more advanced methods like grouping or the difference of squares.

What property is applied in solving quadratic equation by factoring?

Learn how the Zero-Factor Property is applied in solving quadratic equations by factoring. This concept is essential for solving factored forms of quadratic equations and is commonly taught in Grades 8-10. This detailed explanation includes examples and related questions.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation