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Algebra IIFactoring Strategy
1
Learning these guidelines has been directly linked to greater Algebra success!!
Part1 Part 2 Part 3 Part 4
I. Always look for GCF First !
II. Consider the Number of terms
A. Two Terms
1. Difference of Squares
2. Difference of
3. Sum of
4. There is NOT a sum of Squares!
B. Three Terms
1. Trinomial Square
2. Trial & /Reverse Type x² + bx + c
Type ax² + bx + c
C. Four or More Terms
1. Difference of Squares AGAIN
2. Factoring by
III. Make Sure to Factor
2
3
4
1. Difference of Squares
2. Difference of CubesA3 – B3 ↔ (A – B)(A² + AB +
B²)
3. Sum of CubesA3 + B3 ↔ (A + B)(A²
- AB + B²) 5
Numbers
Variables (powers that are multiples of ______)(x1)3 ↔ x3 (x2)3 ↔ x6
(x3)3 ↔ x9
etc.
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Z3 – 1
8 – 27t3
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8
Reverse FOIL
First blanks filled with x Determine signs from c
If c is negative, then one positive & one negative If c is positive, then signs are the same look @
tiebreaker+,+ if bx is positive-,- if bx is negative
List factors of c Fill in last blanks with factors of c Try till you get the right middle term bx
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y² + 8y + 15
d² - 14d + 45
t² - 15 – 2t
56 + x – x²
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xy + xz + wy + wz
2xy – x2y – 6 + 3x
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