FACTORING
Can I take anything out? (ALWAYS ASK THIS FIRST!!)
_____________________1. 18y - 9
_____________________2. x2y + x
_____________________3. 24x4 -18y3 +12x2
_____________________4. y(x+4) + z(x+4)
Is it the difference of two perfect squares? If so, will it factor again? (x2 + y2 is prime!!)
_____________________5. x2 - 16
_____________________6. x2 - y2
_____________________7. 4x2 - 9z2
____________________ 8. 25 - a2
____________________ 9. x4 – 81
Can I break the trinomial (three terms) into two binomials?
____________________10. x2 - 4x + 3
____________________11. y2 - 16y - 17
____________________12. 2x2 - x - 1
____________________13. a2b2 + 10ab +24
____________________14. x2 - 6xy - 27y2
____________________15. x2 +18x +81
____________________16. x4 - x2 - 42
____________________17. 6x2 - 7x + 2
____________________18. 2x2 - 5x - 3
____________________19. 4x2 - 8xy - 5y2
Can I break the FOUR terms into groups of two and factor?
___________________20. xm +5x + 3m + 15
___________________21.
2x + 4 - 6x – 12
STRATEGY FOR FACTORING COMPLETELY:
A. Always look for the greatest common factor first !!
B. 2 TERMS
It will not factor further unless it is the difference of two squares.
Remember: x2 - y2 =
But x2 + y2 is
Check to see if you can factor again: ex: x4 - 81
C. 3 TERMS
Try to factor into two binomials using trial and error.
D. 4 TERMS
Break into groups of two and factor.
Factor Completely.
_______________________1. 3x - 9
_______________________2. x2 - 9
_______________________3. x2 - 6x + 9
_______________________4. 3x2 - 6x + 9
_______________________ 5. x2 + x - 3x - 3
_______________________6. 4x2 - 4x + 1
_______________________7. 4x2 - 16
_______________________8. 6x2 - x - 1
_______________________9. 6x2 +20x - 16
_______________________10. 8x4 - 8y4
_______________________11. x3 - x + 2x2 - 2
_______________________12. x2 - x - 42
_______________________13. x2 + x - 56
_______________________14. 6x2 + 5x -6
Finish above and: page 315: 2, 5, 14, 16, 17, 46, 49
Page 127: 5, 6, 9
Homework: Page 286: 2, 9, 15, 17, 19, 26, 50, 56,
Page 268: 14, 15, 18, 28, 32, 34