How to Factor a Trinomial where a does not equal 1 (ax²+bx+c)

Описание: Factoring trinomials can be tricky, especially when the leading coefficient (the 'a' value) is not 1! This video will teach you a powerful technique called the AC Method, combined with factoring by grouping, to confidently factor these more challenging trinomials in the form ax² + bx + c.

We'll break down the process step-by-step: first, finding two numbers that multiply to (a * c) and add to 'b'. Then, you'll learn how to "split the middle term" using these numbers and apply factoring by grouping to find your final factored form. We'll go through multiple examples, including one where you'll first need to factor out a greatest common factor.

By the end of this tutorial, you'll have a solid understanding of how to approach and solve these types of factoring problems!

Timestamps:
0:00 - Introduction to Factoring Trinomials (a ≠ 1)
0:25 - The AC Method: Finding Numbers that Multiply to AC and Add to B
0:50 - Example 1: Factoring 3x² - x - 10
1:40 - Splitting the Middle Term
2:15 - Factoring by Grouping (First Two Terms)
3:10 - Factoring by Grouping (Last Two Terms)
3:45 - Final Factored Form (Example 1)
4:30 - Example 2: Factoring 12x² + 14x - 6 (with GCF)
4:50 - Factoring out the Greatest Common Factor (GCF)
5:40 - Applying the AC Method to the Remaining Trinomial
6:45 - Splitting the Middle Term (Example 2)
7:30 - Factoring by Grouping (First Two Terms - Example 2)
8:05 - Factoring by Grouping (Last Two Terms - Example 2)
9:00 - Final Factored Form (Example 2)
9:45 - Conclusion and More Factoring Resources

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