Factor Completely.

1.   12n 2 – 15n – 3

2.   16y 4 – 4

3.   3a 4 – 8a 3 + a 2

4.   3y 3 + 81

5.   5x 2 – 40x + 80

6.   8xy + 20x + 6y + 15

7.   18c 2 – 50

8.   2x 3y – 4x 2y + 2xy

9.   36a 3b + 120a 2b 2 + 100ab 3

10.   y 4 + 64y

11.   8x 3 – 15y – 20xy + 6x 2

12.   6a 3 + 20a 2 – 21a – 70

13.   24x 3 – 375

14.   -9t 2 – 30t – 25

Use synthetic division on the following problems.

15.    (x 3 + 2x 2 – 8 x – 3 )  ÷  (x – 1)

16.   (2n 5 – 6n 4 – 12n 2 – 15 )  ÷  (n – 4)

17.   (6x 5 – 5x 4 – 4x 3 – 3x 2 – 2x + 1 )   ÷   (x – 2)

18.   (x 4 + x 3 – x 2 + x – 1 )   ÷   (x + 5)

19.   (5n 5 + 10n 4 – 10n 3 – 34n + 33 )   ÷   (n + 3)

20.   (7x 6 – 8x 4 + 9x 2 )   ÷   (x + 2)

21.   (y 7 + 1 )   ÷ (y + 1)