1. 28x2 - 4x

2x(14x - 2x)
4(7x2 - x)
4x(7x - x)
4x(7x - 1)
2. Find the greatest common factor

of a 3 and a5



a8
a2
a3
a15
3. 3a2b4 - 12ab3 + 15ab2

3b2(a2b2 - 4ab + 5a)
3ab2(ab2 - 4b + 5)
3a(ab4 + 4b3 + 5b2)
3ab(ab3 - 4b2 + 4b)
4. 49x2 - 1
(7x - 1)(7x +5)
(7x -1)(7x - 1)
(7x +1)(7x +1)
(7x - 1)(7x+1)
5. 6x3 + 6x

6x(x2 + 1)
6(x3 + x)
3x(2x2 + 2)
6(x3 + 1)
6. x2 + 11x + 28

(x - 7)((x - 4)
(x + 7)(x + 4)
(x + 7)(x - 4)
(x + 14)(x + 2)
7. x2 + 3x - 10

(x - 10)(x + 1)
(x + 5)(x + 2)
(x + 2)(x - 5)
(x + 5)(x - 2)
8. x2 - 8x + 16
(x - 4)2
(x + 4)2
(x + 4)(x - 4)
(x + 2)(x - 8)
9. 4x2 + 11x + 6

(4x - 3)(x - 2)
(4x + 3)(x - 2)
(4x + 3)(x + 2)
(2x + 1)(2x + 6)
10. y2 - 7y - 18

(y - 2)(y + 9)
(y + 2)(y - 9)
(y - 2)(y - 9)
(y + 9)(y + 2)
11. 5x2 - 11x + 2
(5x - 1)(x + 2)
(5x + 2)(x - 1)
(5x + 1)(x + 2)
(x - 2)(5x - 1)
12. 2x2 + 5x - 12

(2x - 3)(x + 4)
(2x + 3)(x - 4)
(2x + 3)(x + 4)
(2x + 6)(x - 2)
13. 8x2 - 13x + 5

(8x - 5)(x - 1)
(2x - 5)((4x - 1)
(8x + 1)(x - 5)
(2x - 1)(4x - 5)
14. x2 - 10x - 24

(x - 12)(x + 2)
(x - 6)(x - 4)
(x - 6)(x + 4)
(x - 2)(x + 12)
15. 4x2 - 13x + 10
(2x - 5)(2x - 2)
(4x - 5)(x - 2)
(4x + 5)(x + 2)
(2x + 1)(2x + 10)
16. 12x2 + x - 6

(3x - 2)(4x + 3)
(3x + 2)(4x - 3)
(6x + 1)(2x - 6)
(6x - 5)(2x + 1)
17. 10a2 - 7a - 12
(2a - 6)(5a + 2)
(2a - 4)(5a + 3)
(5a - 3)(2a - 4)
(2a - 3)(5a + 4)
18. Solve for x: x2 - 64 = 0
8
8, -8
-8
9,-9
19. Solve for x: x2 + 3x - 4 = 0

3,-1
1, -4
-1, 4
2,-2
20. 3x2 - 11x = -10

2, 5/3
-2, 5/3
2, -5/3
-2,, -5/3
21. Solve for x: 3x2 - 3x = 0

0
1
0,1
0, -1
22. 25 - x2

(x - 5)(x + 5)
(5 - x)(5 + x)
(5 - x)(5 - x)
(x - 25(x + 25)
23. 12x - 9

(3x - 3)(4x + 3)
3(4x - 3)
9(3x - 1)
3(4x + 3)
24. x2 + 2x + 1
(x + 1)2
(x + 1)(x - 1)
(x +1)(x + 2)
(x - 1)2
   
   

 


 


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Quiz #6
Factoring

Factor Completely in problems #1 - #17