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Algebra II Factoring Strategy 1 THE GENERAL STRATEGY FOR FACTORING 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 & Type x² + bx + c /Reverse Type ax² + bx + c C. Four or More Terms 1. Difference of Squares AGAIN 2. Factoring by III. Make Sure to Factor Learning these guidelines has been directly linked to greater Algebra success!! Part1 Part 2 Part 3 Part 4 2 3 4 1. Difference of Squares 2. Difference of Cubes A3 – B3 ↔ (A – B)(A² + AB + B²) 3. Sum of Cubes A3 + B3 ↔ (A + B)(A² - AB + B²) 5 Numbers Variables (powers that are multiples of ______) (x1)3 ↔ x3 (x2)3 ↔ x6 (x3)3 ↔ x9 etc. 6 Z3 – 1 8 – 27t3 7 8 Reverse FOIL First blanks filled with Determine signs from x 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 9 y² + 8y + 15 d² - 14d + 45 t² - 15 – 2t 56 + x – x² 10 11 xy + xz + wy + wz 2xy – x2y – 6 + 3x 12