# Procedures for Factoring

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```					                            Procedures for Factoring

1. Rewrite terms in descending order
2. Factor GCF and negative if first term is negative
3. Check number of terms
a. 2 terms
i. Two squares, difference
1. a 2  b 2  (a  b)( a  b)
ii. Two squares, sum
1. Prime
iii. Two cubes, difference
1. a3  b3  (a  b)(a 2  ab  b 2 )
iv. Two cubes, sum
1. a3  b3  (a  b)(a 2  ab  b 2 )
b. 3 terms
i. If first/last terms are perfect squares (check for special products)
1. Check if second term is positive
a. a 2  2ab  b 2  (a  b)( a  b)  (a  b) 2
2. Check if second term is negative
a. a 2  2ab  b 2  (a  b)( a  b)  (a  b) 2
ii. Trinomial of the form x 2  bx  c
1. Find factors of c that have a sum of b
2. ( x  1st #)( x  2nd #)
iii. Trinomial of the form ax 2  bx  c
a. Find factors of ac that have a sum of b
b. Rewrite bx as a sum of factors using variables of
second term
c. Factor by grouping
c. 4 terms
i. Factor by grouping if possible
4. Make sure all factors are factored completely!!!
5. Check by multiplying.

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