Factoring All Types Complete Guide

Learn how to tell what type of factoring technique to use in this video in these 30 examples. We discuss a decision tree and a process for determining what factoring technique to use. We discuss: greatest common factor difference of two squares sum and difference of cubes trinomials with leading coefficient 1 trinomials with leading coefficient not equal to 1 factoring by grouping perfect square trinomials ac method of factoring trinomial (split middle term and factor by grouping) trinomials in "quadratic form" factoring involving fractions leading coefficient negative factoring completely when more than one technique is required in a given problem. Jump to specific problem: 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: https://youtu.be/kAHRBxLhkW8 ➡️Get free 100 factoring problem worksheet with video solutions here: https://youtu.be/HAO4Yuk9wP0 ✅ JOIN as a Channel Member at the "𝑨𝑫𝑫𝑰𝑻𝑰𝑶𝑵𝑨𝑳 𝑽𝑰𝑫𝑬𝑶𝑺" level to get access to Member Only videos including my Full Geometry Course, ACT and SAT courses, midterm and final exam reviews and more (over 120 additional videos currently with more being added) https://www.youtube.com/channel/UClOR1BiPyOkkIAnv9Cmj4iw/join ✅Get my Learn Algebra 2/College Algebra Video Course (Preview 13 free video lessons & learn more) https://mariosmathtutoring.teachable.com/p/algebra-2-video-course ✅Get my Learn Algebra 1 Video Course https://mariosmathtutoring.teachable.com/p/learn-algebra-1-video-course