Name: Unit 7: Polynomials & Factoring Date: Bell: Homework 6: Factoring Difference of Squares Directions: Factor each polynomial. Check your answer using FOIL. 1.X2 –36 2. A2b2 – 100 3. 16y2 – 25 4.Y2 +25 5. 9a2 – 121 6. 196 – x2 7. 4y2 – 81 8. 36c2 – d2 9. 16m2 – p2 10. M2 – 64n2 11. 1 – 4a2 12. 9v4 – 100 Directions: Factor each polynomial. Look for a GCF first. 13. 3p2 – 75 14. 5x2 – 80 15. 7n2 – 7 16. 16x3 – 100x 17. 3x2 – 3y2 18. 8a2 – 18b2 19. 4m2 – 144 20. 81m4 – m2 21. 3k4 – 48k2 22. 2x3 – 200x 23.A3 –a 24. 32x2 – 18y2 © Gina Wilson, 2012

1) (x + 6) (x - 6)

2) (Ab + 10) (Ab - 10)

3) (4y + 5) (4y - 5)

4) (Y + 5) (Y + 5)

5) (3a + 11) (3a - 11)

6) (14 + x) (14 - x)

7) (2y + 9) (2y - 9)

8) (6c + d) (6c - d)

9) (4m + p) (4m - p)

10) (M +8n) (M - 8n)

11) (1 + 2a) (1 - 2a)

12) (3v^2 + 10) (3v^2 - 10)

13) 3 (p + 5) (p - 5)

14) 5 (x + 4) (x - 4)

15) 7 (n + 1) (n - 1)

16) 4x (2x + 5) (2x - 5)

17) 3 (x + y) (x - y)

18) 2 (2a +3b) (2a - 3b)

19) 4 (m + 6) (m - 6)

20) m^2 (9m + 1) (9m - 1)

21) 3k^2 (k + 4) (k - 4)

22) 2x (x + 10) (x - 10)

23) expression isn't factorable based on rational numbers

24) 2 (4x + 3y) (3x - 3y)

step-by-step explanation:

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