How to Factor Polynomials Using the Greatest Common Factor (GCF) | Step-by-Step Examples

Описание: 📚 Master Factoring Polynomials Using the Greatest Common Factor (GCF) with Step-by-Step Examples! Factoring polynomials is a fundamental skill in algebra that helps simplify expressions and solve equations. In this video, we’ll show you how to factor polynomials using the GCF with four easy steps and multiple example problems.

By the end of this lesson, you’ll be able to identify the greatest common factor of a polynomial, factor it out, and simplify expressions effortlessly—a skill that’s essential for solving equations, factoring completely, and working with polynomials in algebra!

🔍 What You’ll Learn in This Video:
✅ What is the Greatest Common Factor (GCF)?
✔ Understanding what the GCF means in polynomials
✔ How to identify the GCF of terms in a polynomial

✅ Step-by-Step Factoring Using the GCF:
✔ Step 1: Identify the greatest common factor of the polynomial
✔ Step 2: Factor out the GCF from all terms
✔ Step 3: Write the expression in factored form
✔ Step 4: Check your answer by redistributing

✅ Common Mistakes to Avoid:
✔ Forgetting to factor out the full GCF
✔ Misapplying the distributive property
✔ Not checking your answer by multiplying back

By the end of this tutorial, you’ll feel confident factoring polynomials using the GCF and applying this method in equation solving, factoring quadratics, and algebraic simplifications!

📥 Download Free Guided Notes!
Get guided notes to follow along and practice factoring step by step:
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Timestamps
00:00 Introduction
00:35 Example 1
02:15 Example 2

More About Understand The Math
Understand The Math offers clear, accessible, and engaging mathematics instruction for students and lifelong learners. I'm Cheryl Hile, the founder of Understand The Math, with a Ph.D. in Engineering Science and Applied Mathematics and over 25 years of university teaching experience. My goal is to provide accurate, high-quality math instruction through step-by-step explanations and carefully worked-out examples.

Each video includes free guided notes, linked in the description. These notes help students follow along, highlight key concepts, and practice problems, making review easier and more effective.

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