Factoring Polynomials by Grouping | Step-by-Step Method with Examples

Описание: 📚 Learn How to Factor Polynomials with Four Terms Using Grouping! In this video, you'll master the method of factoring polynomials by grouping—a powerful technique especially useful for polynomials with four terms. We’ll walk through each step clearly and apply the method to multiple example problems.

This lesson will help you build a solid foundation in factoring, an essential skill in algebra and higher-level math courses.

🔍 What You’ll Learn in This Video:
✅ What is Factoring by Grouping?
✔ A strategy for factoring polynomials with 4 terms
✔ Identify logical groupings and common factors
✔ How to factor out the binomial common factor

✅ Step-by-Step Factoring Strategy:
✔ Step 1: Group the first two and last two terms
✔ Step 2: Factor out the GCF from each group
✔ Step 3: Factor out the common binomial

📊 Examples Covered in the Video:
✔ Factor x³ + 3x² + 2x + 6
 • Group: (x³ + 3x²) + (2x + 6)
 • Factor: x²(x + 3) + 2(x + 3)
 • Result: (x + 3)(x² + 2)

✔ Factor 6x³ + 4x² + 15x + 10
 • Group: (6x³ + 4x²) + (15x + 10)
 • Factor: 2x²(3x + 2) + 5(3x + 2)
 • Result: (3x + 2)(2x² + 5)

By the end of this video, you’ll be able to:
✔ Recognize when to use factoring by grouping
✔ Apply it accurately to solve polynomial expressions
✔ Check your factored results with confidence

📥 Download Free Guided Notes!
Follow along and practice each step with structured support:
👉 https://www.understandthemath.com/alg...

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Timestamps
00:00 Introduction
00:39 Example 1
02:22 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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