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Name:________________ Date:__________ Factoring Guidelines Guidelines for Factoring A. Look for common factors B. Consider the number of terms a. Two Terms: i. Difference of squares ii. Sum or difference of cubes b. Three Terms: i. Trinomial Square ii. Test Factors of Squares (reverse FOIL) c. More Than Three Terms: i. Try Grouping ii. Try Difference of Squares again C. Factor Completely - make sure each factor is a prime factor Factoring Techniques A. Common Factors: Place common factors outside parenthesis B. Difference of Squares: A2 – B2 = (A + B)(A – B) C. Sum or Difference of Cubes: A3 + B3 = (A + B)(A2 – AB + B2) A3 – B3 = (A – B)(A2 + AB + B2) D. Trinomial Squares: A2 + 2AB + B2 = (A + B)2 A2 – 2AB + B2 = (A – B)2 E. Test Factors: x2 + bx + c = (x + ___)(x + ___) * ____ x ____ = c * ____ + ____ = b ax2 + bx + c = (___x + ___)(___x + ___) * use trial an error to fill in blanks * check with FOIL F. Grouping: Insert parenthesis to break up polynomial Use above methods to factor Name:________________ Date:__________ Factoring Worksheet Factor Completely: 1. 8y3 + 4y 2. 3ab – 9ac + 15ad 3. 4x2 + 4x + 1 4. 6x2 – 20x – 16 5. 144xy + 48x2 + 108y2 6. 4a2 – 64b2 7. 4x2 – 9y2 Name:________________ Date:__________ 8. y2 + 12y + 36 – 9a2 9. 64a3 + b3 10. 8x3 – 216y3 11. x2 + 7x +12 12. x2 – 12x + 20 13. 2a2 – 18a + 36 14. 16x2 + 32x – 128 15. ax3 – ay3 – bx3 + by3