Uploaded November 2025 | Updated September 2026, 2 weeks ago
Ready to conquer factoring trinomials? In this comprehensive math tutorial, Mario's Math Tutoring breaks down how to factor trinomials quickly and efficiently, covering a wide range of examples from easy to advanced.
You'll learn essential techniques including:
Factoring Trinomials with a Leading Coefficient of 1: The simplest method for quick solutions.
The AC Method: A powerful technique for factoring trinomials when the leading coefficient is not one.
Splitting the Middle Term & Factoring by Grouping: A step-by-step approach to handle more complex expressions.
Reverse FOIL: How to check your work and understand the factoring process.
Greatest Common Factor (GCF): Always the first step to simplify any factoring problem.
Perfect Square Trinomials: Recognize and factor these special cases with ease.
Factoring out Negatives: A crucial tip when your trinomial starts with a negative term.
Factor Tree Technique: A clever strategy for finding the right numbers when dealing with large products in the AC method.
This video features 10 progressively challenging examples, ensuring you gain a solid understanding of each method. Whether you're just starting or looking to refine your factoring skills, this guide has you covered.
Timestamps:
00:00 Intro
00:20 Example 1 Factor x²-x-12
01:20 Example 2 Factor x²-21x+20
02:02 Example 3 Factor 3x²+12x-15
02:59 Example 4 Factor 5x²-4x-12
05:35 Example 5 Factor 2x²+x-15
08:50 Example 6 Factor 9x²-66x+121
10:39 Example 7 Factor 16x²+72x+81
11:31 Example 8 Factor -x²+7x+18
12:36 Example 9 Factor 6x²+7x-20
17:06 Example 10 Factor 20x²-9x-18
#factoringtrinomials #Algebra #MathTutorial #ACMethod #FactoringByGrouping #PerfectSquareTrinomials #GCF #MathHelp
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Ready to conquer factoring trinomials? In this comprehensive math tutorial, Mario's Math Tutoring breaks down how to factor trinomials quickly and efficiently, covering a wide range of examples from easy to advanced.
You'll learn essential techniques including:
Factoring Trinomials with a Leading Coefficient of 1: The simplest method for quick solutions.
The AC Method: A powerful technique for factoring trinomials when the leading coefficient is not one.
Splitting the Middle Term & Factoring by Grouping: A step-by-step approach to handle more complex expressions.
Reverse FOIL: How to check your work and understand the factoring process.
Greatest Common Factor (GCF): Always the first step to simplify any factoring problem.
Perfect Square Trinomials: Recognize and factor these special cases with ease.
Factoring out Negatives: A crucial tip when your trinomial starts with a negative term.
Factor Tree Technique: A clever strategy for finding the right numbers when dealing with large products in the AC method.
This video features 10 progressively challenging examples, ensuring you gain a solid understanding of each method. Whether you're just starting or looking to refine your factoring skills, this guide has you covered.
Timestamps:
00:00 Intro
00:20 Example 1 Factor x²-x-12
01:20 Example 2 Factor x²-21x+20
02:02 Example 3 Factor 3x²+12x-15
02:59 Example 4 Factor 5x²-4x-12
05:35 Example 5 Factor 2x²+x-15
08:50 Example 6 Factor 9x²-66x+121
10:39 Example 7 Factor 16x²+72x+81
11:31 Example 8 Factor -x²+7x+18
12:36 Example 9 Factor 6x²+7x-20
17:06 Example 10 Factor 20x²-9x-18
#factoringtrinomials #Algebra #MathTutorial #ACMethod #FactoringByGrouping #PerfectSquareTrinomials #GCF #MathHelp
➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos)
youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join


![Master the Greatest Integer Function (Step Function) - How to Graph
Learn how to graph the greatest integer function (step function) and understand its transformations! This video breaks down the core concept of rounding down to the nearest integer and then demonstrates how various changes to the function affect its graph. Well go through 10 examples from easy to challenging, covering all major transformations.
In this tutorial, you will discover:
What is the Greatest Integer Function? Understanding the [[x]] notation and how it always rounds down to the previous integer.
Basic Step Function Graph: How to graph the parent greatest integer function, recognizing its stair-step pattern (closed on the left, open on the right).
Vertical Stretch/Shrink: How a coefficient in front of the function (a * [[x]]) stretches or shrinks the graph vertically.
Horizontal Shift: How changes inside the brackets ([[x + h]]) shift the graph left or right (opposite effect).
Vertical Shift: How a constant added or subtracted outside the brackets ([[x]] + k) shifts the graph up or down (same effect).
Reflections: How negative signs (-[[x]] or [[-x]]) reflect the graph over the x-axis or y-axis.
Horizontal Stretch/Shrink: How a coefficient inside the brackets ([[b * x]]) stretches or shrinks the graph horizontally (reciprocal effect).
Combining Transformations: Graphing functions with multiple transformations and understanding the order of operations.
This video is perfect for algebra and pre-calculus students learning about piecewise functions and transformations.
Timestamps:
0:00 - Introduction to Greatest Integer Function & Transformations
0:30 - Understanding the Greatest Integer Function (Rounding Down)
1:50 - Graphing the Parent Greatest Integer Function (Step Function)
2:55 - Example 2: Vertical Stretch (y = 2[[x]])
3:50 - Example 3: Horizontal Shift (y = [[x + 2]])
4:50 - Example 4: Vertical Shift (y = [[x]] - 3)
6:00 - Example 5: Reflection over the X-axis (y = -[[x]])
7:00 - Example 6: Reflection over the Y-axis (y = [[-x]])
8:00 - Example 7: Horizontal Stretch (y = [[1/2 x]])
9:20 - Example 8: Horizontal Shrink (y = [[2x]])
10:20 - Example 9: Combined Transformations (y = 3[[x - 1]] + 2)
11:50 - Example 10: Challenging Combined Transformations (y = [[2x - 1]]) & Order of Transformations
Dont forget to like, comment, and subscribe for more algebra and pre-calculus tutorials!
#GreatestIntegerFunction #StepFunction #FunctionTransformations #GraphingFunctions #AlgebraHelp #PreCalculus #MathTutorial #PiecewiseFunctions
➡️JOIN the channel as a CHANNEL MEMBER at the ADDITIONAL VIDEOS level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, and PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos)
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