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# How to Factor

The Seven Methods of Factoring and a quick tutorial to do each step

by

Tweet## Yeng Zong Yang

on 7 September 2012#### Transcript of How to Factor

THE SEVEN METHODS OF FACTORING Make sure to find them from all the terms, ones that are in parentheses. Find the Greatest Common Factor !!Tutorial!! Follow along by writing down the first question on the left Method 1 Method 2 3 +2x 2x 2 4x + x 3 +x 2 +x - 1 x 2 - 64 1. Draw two sets of Parentheses 2. Take the square root of the first term and put it in front of each set 3. Put a plus sign in one set and a minus in the other 4. Take the square root of the last term and put it in the back of each set of Parentheses Tutorial of Method 2 Method 3 25x 2 +10x +1 x 2 +12x+36 follow along Factor the difference of TWO squares Follow along 2 x Factor a perfect trinomial square 1. Draw a set of Parentheses and square it. 2. Take the square root of the first term and put it in the front of the Parentheses. 3. Take the sign that appears first in the expression and put it in the Parentheses 4. Take the square rot of the last term and put it in the back of the Parentheses. !!Tutorial!! Method 4 1. Draw two sets of Parentheses side by side Factoring a pair of binomials using the systematic method x +7x+6 2 d 2 -4d-21 Follow along Tutorial Method 5 Factoring as a pair of binomials

using the systematic method 1. Draw two sets of Parentheses side by side 3x 2 +7x+2 5x 2 +28x+15 Follow ME! Tutorial?? You bet!! 1. Draw two sets of Parentheses side by side, BUT make the back one bigger. Factoring the sum OR difference of cubes 8x -27 64+27x Follow along Method 6 Tutorial Number 7 !!Last Method!! Group terms so that you can factor twice Factor by Grouping not a big term but involves a lot of work to show x -ax+cx-ac 2 6x +4x-9xy-6y 2 Follow along, one more Final tutorial!! "Phew" I hope you learned something! 3 3 2. Put whichever letter that is being used in the front of each set of Parentheses 3. Think of two numbers you can multiply together to get the last number that also add up to the middle number and put one of these numbers in the back of the first set of Parentheses and the other in back of the second set of Parentheses 2. On the sides, write down factors of the first term and the last term 3. Find which sets will "Multiply and Add to the Middle" 4. Then put the sets that works in the Parentheses 2. In the first set, put the cubed root of the first term, the sign that appears first, and then the cubed root of the last term. 3. To get what goes in the second set, use the terms of the first set of Parentheses, by the following Put the square of the first term the opposite sign the product of the two terms (ignore signs) then the square of the last term

Full transcriptusing the systematic method 1. Draw two sets of Parentheses side by side 3x 2 +7x+2 5x 2 +28x+15 Follow ME! Tutorial?? You bet!! 1. Draw two sets of Parentheses side by side, BUT make the back one bigger. Factoring the sum OR difference of cubes 8x -27 64+27x Follow along Method 6 Tutorial Number 7 !!Last Method!! Group terms so that you can factor twice Factor by Grouping not a big term but involves a lot of work to show x -ax+cx-ac 2 6x +4x-9xy-6y 2 Follow along, one more Final tutorial!! "Phew" I hope you learned something! 3 3 2. Put whichever letter that is being used in the front of each set of Parentheses 3. Think of two numbers you can multiply together to get the last number that also add up to the middle number and put one of these numbers in the back of the first set of Parentheses and the other in back of the second set of Parentheses 2. On the sides, write down factors of the first term and the last term 3. Find which sets will "Multiply and Add to the Middle" 4. Then put the sets that works in the Parentheses 2. In the first set, put the cubed root of the first term, the sign that appears first, and then the cubed root of the last term. 3. To get what goes in the second set, use the terms of the first set of Parentheses, by the following Put the square of the first term the opposite sign the product of the two terms (ignore signs) then the square of the last term