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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Factoring - Algebra Study Guide</title>
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</head>
<body>
<header>
<h1>Factoring</h1>
</header>
<nav>
<a href="algebra.html">Back to Algebra</a>
<a href="index.html">Back to Study Guide</a>
</nav>
<div class="container">
<h2>Factoring Techniques</h2>
<h3>1. Factoring Out the Greatest Common Factor (GCF)</h3>
<div class="step">
<i class="fas fa-arrow-right"></i>
<div>
<h4>Steps:</h4>
<ol>
<li>Identify the greatest common factor.</li>
<li>Factor out the GCF from all terms.</li>
</ol>
</div>
</div>
<h3>2. Factoring Trinomials</h3>
<div class="step">
<i class="fas fa-arrow-right"></i>
<div>
<h4>Steps:</h4>
<ol>
<li>Find two numbers that multiply to give the constant term and add to give the middle term.</li>
<li>Rewrite the trinomial using these numbers and factor by grouping.</li>
</ol>
</div>
</div>
<h3>3. Difference of Squares</h3>
<div class="step">
<i class="fas fa-arrow-right"></i>
<div>
<h4>Formula:</h4>
<p><code>a² - b² = (a - b)(a + b)</code></p>
</div>
</div>
<h3>Example: Factoring a Trinomial</h3>
<div class="example-box">
<p><strong>Example 1: Factor x² + 5x + 6</strong></p>
<pre>
1. Find two numbers that multiply to 6 and add to 5 → (2,3)
2. Rewrite: x² + 2x + 3x + 6
3. Factor by grouping: (x + 2)(x + 3)
</pre>
</div>
<a href="#" class="button">Click here for more examples</a>
</div>
<footer>
<p>© 2025 Study Hub. All rights reserved.</p>
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