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Factoring Graphic Organizer
1
Factoring Graphic Organizer
Grouping
1. Group first two terms then last two
2. Find GCF for each
Ex. 4n^3+8N^2-5n-10
=
4n^2(1n+2)-5(1n-2)
Greatest Common Factor
Split the Middle
Simple Trinomial
1. Find Factors of "C" that add to get "B"
2. Write out your answer
Ex. Y^2-9Y+14
=
(Y-7)(Y-2)
1. Find GCF of all terms.
2. Get the lowest exponets of all the variables.
3. Write GCF in front of the parenthesis
4. Divide the terms by GCF
Ex. 3d^2-6d
=
3d(1d-2)
1. Multiply "A" and "C"
2. Find the factors that add to get "B"
3. Split the terms using the two factors
4. Factor the rest by grouping
Ex. 6X^2=10X=4
=
2(3X+2)(X+1)
Difference of Two Squares
1. Find the square root of the first term.
2. Find the square root of the second term.
3. Group the square roots of the 1st and 2nd terms.
Ex. X^2-64
=
(X+8)+(X-8)
Prime
If there is not a GCF then you can put the answer as prime.
EX. 3X^2+7