Factoring Trinomials Leading Coefficient Not 1 (Learn Algebra 2)

Factoring quadratic trinomials can be one of the most challenging topics in algebra, especially when the leading coefficient (the 'a' value) is not equal to one! This comprehensive video will guide you through the most effective methods, ensuring you can confidently factor even the toughest trinomials.

We'll start by emphasizing the crucial first step: always factoring out the Greatest Common Factor (GCF). Then, we'll dive deep into the "AC Method" (also known as splitting the middle term and factoring by grouping), a systematic approach that many students find easier than trial and error. You'll learn how to find two numbers that multiply to (a * c) and add to 'b', then use them to split the middle term and factor by grouping.

The video includes numerous examples, from basic factoring to solving quadratic equations by finding their zeros. Master these techniques to excel in your algebra course!

Timestamps:
0:00 - Introduction to Factoring Trinomials (a ≠ 1)
0:35 - Step 1: Factoring out the Greatest Common Factor (GCF)
1:30 - Example 1: Factoring with GCF (3x² - 3x - 18)
2:30 - The AC Method: Splitting the Middle Term & Factoring by Grouping
3:10 - Example 2: Factoring 6x² + x - 15 (No GCF)
5:55 - Example 3: Factoring 5x² - 21x + 4
8:00 - Practice Problem 1: Factoring 42x² + 33x + 6 (with GCF)
10:45 - Practice Problem 2: Factoring 4x² - 20x + 25 (Perfect Square Trinomial)
11:55 - Practice Problem 3: Factoring 2y² - 162 (Difference of Two Squares)
12:50 - Practice Problem 4: Factoring 12y² + 14y - 20 (with GCF)
15:50 - Practice Problem 5: Solving 10y² - 3y - 4 = 0 (Finding Zeros)
19:00 - Practice Problem 6: Solving 8c² - 4c - 84 = 0 (Finding Zeros with GCF)
22:30 - Practice Problem 7: Finding the Zeros of 12y² + 11y + 2
25:10 - Practice Problem 8: Finding the Zeros of 5a² + 3a - 2
27:20 - Conclusion and Review of the AC Method

Related Videos to Help You:

Factoring All Different Types of Polynomials
   • Factoring - How to Factor Different Types  

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