Uploaded February 2025 | Updated September 2026, 2 weeks ago
Ready to conquer factoring in algebra? This comprehensive video is your ultimate guide to mastering every type of factoring you'll encounter in Algebra 1, Algebra 2, or College Algebra. We'll walk you through a powerful decision tree that helps you identify the correct factoring technique for any problem.
Join me as we work through 30 diverse examples together! You'll learn how to approach each problem systematically, from finding the Greatest Common Factor (GCF) to tackling complex trinomials, differences of squares, sums/differences of cubes, and factoring by grouping. This video is perfect if you have some basic factoring knowledge and are looking to solidify your skills and learn advanced strategies.
In this video, you'll learn:
How to use a decision tree to choose the right factoring method.
Step-by-step solutions for 30 unique factoring problems.
Techniques for GCF, trinomials (a=1 and a≠1), perfect square trinomials, difference of two squares, sum/difference of two cubes, and factoring by grouping.
Strategies for factoring expressions with fractions and in quadratic form.
Tips for checking your work and factoring completely.
Timestamps:
00:00 Intro
1:10 factor greatest common factor 12x³+10x
2:03 factor trinomial y²-2y-8
3:31 factor 9c²-64 using difference of two squares
4:46 factor 125x³+1 using the sum of two cubes formula
6:37 factor 3y²+y-10 trinomial with a≠1 using ac method or splitting middle term
8:43 factor 4x³-4x²+5x+5 using factoring by grouping
9:51 factor 9y²-42y+49 using perfect square trinomial formula
11:16 factor 64x³-27 using difference of two cubes formula
12:35 factor -3y²-13y+10 by factoring out a negative then use the ac method
14:17 factor 2x³+5x²-18x-45 using factoring by grouping and difference of 2 squares
15:18 factor 1-144y² using difference of two squares
16:23 factor (1/9)x²-(2/9)x-(5/3) by eliminating fractions and then factoring the trinomial
18:13 factor x⁴-x²-42 trinomial in "quadratic form"
19:27 factor (81/16)y²-(1/4) by factoring out the fractions and using difference of squares
20:43 factor -5x³+x²+80x-16 by grouping
22:06 factor (x+3y)³+8 using sum of 2 cubes formula
23:13 factor 16y²+24y+9 using perfect square trinomial formula
24:07 factor 6x²-11x-10 using ac method to factor trinomial with a≠1
25:15 factor (1/2)y³-(121/8)y using greatest common factor and difference of two squares
26:05 factor 4(x+2)²(x-1)³-12(x+2)³(x-1)² using greatest common factor
27:27 factor x³+216 using sum of 2 cubes formula
28:08 factor y²+7y+12
29:30 factor 3x³-x²-12x+4 by grouping
30:13 factor 25y²-70+49 using perfect square trinomial formula
30:48 factor 7x²-25x+12 using ac method
31:39 factor x⁶+7x³-8 trinomial in "quadratic form" then factor sum and difference of cubes
33:00 factor 81y²-100 using difference of two squares
33:36 factor 6x²-x-15 using ac method and factor by grouping
34:46 factor 36y²+132y+121 perfect square trinomial
35:29 factor x²-19x+48
Learn more about factoring:
➡️My most popular factoring video here:
youtu.be/kAHRBxLhkW8
➡️Get free 100 factoring problem worksheet with video solutions here:
youtu.be/HAO4Yuk9wP0
➡️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)
youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join
Ready to conquer factoring in algebra? This comprehensive video is your ultimate guide to mastering every type of factoring you'll encounter in Algebra 1, Algebra 2, or College Algebra. We'll walk you through a powerful decision tree that helps you identify the correct factoring technique for any problem.
Join me as we work through 30 diverse examples together! You'll learn how to approach each problem systematically, from finding the Greatest Common Factor (GCF) to tackling complex trinomials, differences of squares, sums/differences of cubes, and factoring by grouping. This video is perfect if you have some basic factoring knowledge and are looking to solidify your skills and learn advanced strategies.
In this video, you'll learn:
How to use a decision tree to choose the right factoring method.
Step-by-step solutions for 30 unique factoring problems.
Techniques for GCF, trinomials (a=1 and a≠1), perfect square trinomials, difference of two squares, sum/difference of two cubes, and factoring by grouping.
Strategies for factoring expressions with fractions and in quadratic form.
Tips for checking your work and factoring completely.
Timestamps:
00:00 Intro
1:10 factor greatest common factor 12x³+10x
2:03 factor trinomial y²-2y-8
3:31 factor 9c²-64 using difference of two squares
4:46 factor 125x³+1 using the sum of two cubes formula
6:37 factor 3y²+y-10 trinomial with a≠1 using ac method or splitting middle term
8:43 factor 4x³-4x²+5x+5 using factoring by grouping
9:51 factor 9y²-42y+49 using perfect square trinomial formula
11:16 factor 64x³-27 using difference of two cubes formula
12:35 factor -3y²-13y+10 by factoring out a negative then use the ac method
14:17 factor 2x³+5x²-18x-45 using factoring by grouping and difference of 2 squares
15:18 factor 1-144y² using difference of two squares
16:23 factor (1/9)x²-(2/9)x-(5/3) by eliminating fractions and then factoring the trinomial
18:13 factor x⁴-x²-42 trinomial in "quadratic form"
19:27 factor (81/16)y²-(1/4) by factoring out the fractions and using difference of squares
20:43 factor -5x³+x²+80x-16 by grouping
22:06 factor (x+3y)³+8 using sum of 2 cubes formula
23:13 factor 16y²+24y+9 using perfect square trinomial formula
24:07 factor 6x²-11x-10 using ac method to factor trinomial with a≠1
25:15 factor (1/2)y³-(121/8)y using greatest common factor and difference of two squares
26:05 factor 4(x+2)²(x-1)³-12(x+2)³(x-1)² using greatest common factor
27:27 factor x³+216 using sum of 2 cubes formula
28:08 factor y²+7y+12
29:30 factor 3x³-x²-12x+4 by grouping
30:13 factor 25y²-70+49 using perfect square trinomial formula
30:48 factor 7x²-25x+12 using ac method
31:39 factor x⁶+7x³-8 trinomial in "quadratic form" then factor sum and difference of cubes
33:00 factor 81y²-100 using difference of two squares
33:36 factor 6x²-x-15 using ac method and factor by grouping
34:46 factor 36y²+132y+121 perfect square trinomial
35:29 factor x²-19x+48
Learn more about factoring:
➡️My most popular factoring video here:
youtu.be/kAHRBxLhkW8
➡️Get free 100 factoring problem worksheet with video solutions here:
youtu.be/HAO4Yuk9wP0
➡️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)
youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join
