Q1. Solve the equation by factoring:

Background

Topic: Quadratic Equations and Factoring

This question tests your ability to solve a quadratic equation by factoring. Factoring is a method used to rewrite the quadratic equation as a product of two binomials set equal to zero, which allows you to find the solutions (roots) of the equation.

Key Terms and Formulas

• Quadratic Equation: An equation of the form .

• Factoring: Rewriting an expression as a product of its factors.

• Zero Product Property: If , then or .

Step-by-Step Guidance

1. Identify the quadratic equation: .

2. Look for two numbers that multiply to 6 (the coefficient of ).

3. Write the quadratic as a product of two binomials: , where and are the numbers you found in the previous step.

4. Set each factor equal to zero: and .

Try solving on your own before revealing the answer!