1. Which polynomials have a Greatest Common Factor of 3x2 ?
A.) 9x5 - 3x B.) 27x4 - 6x3-24x
C.) 48x x3- 21x2 D.) 36x7 - 45x5 - 63x3
E.) 3x4- 16x3- 9x F.) None of these

2. (x-2) is a factor of which polynomials?
A.) 3x2-11x + 10
B.) 2x2 - 8
C.) 3x2+ 2x -8
D.) All of these
E.) None of these

3. Which trinomials have a factor of x - 3?
A.) 2x2 + 5x B.) 4x2 + 9x - 9
C.) x2+ x D.) 2x2 - 3x - 9
E.) x2 - 2x - 15
F.) None of these

4. x2 - 11x + 24? Which of the following is a factor of:
A.) x B.) x - 4
C.) x D.) x - 6
E.) x F.) None of these

5. 24x2 - 6x - 3 Which of the following is a factor of:
A.) 2x B.) 12x +3
C.) 6x D.) 4x + 1
E.) 2x F.) None of these

6. How many of the following polynomials have 2x - 1 as a factor?
4x2 - 4x - 3
6x2 - 7x + 2
8x2 + 2x - 1
6x2+11x - 7
12x2 - 3
A.) 0 B.) 1 C.) 2 D.) 3 E.) 4 F.) 5

7. How many of these polynomials are prime?
9 - x2
2x2 - 16
x2 + 2x + 8
x2 - x - 6
x2 - 14x + 33
A.) 0 B.) 1 C.) D.) E.) F.) 5

8. A.) 0 B.) 1 C.) 2 D.) 3 E.) 4 F.) 5 4x2-1 27-3x2 x2-8x+16 36x2-81
How many of the following polynomials can be factored using the "difference of two squares"?
A.) 0 B.) 1 C.) 2 D.) 3 E.) 4 F.) 5
4x2-1
27-3x2
x2-8x+16
36x2-81
x2+100

9. In mathematics we sometimes use a letter to represent a constant (a number we would know in a particular problem). The letters we use for constants are usually a, b, c and k.
In the following expression, how many different integers could k represent so that the trinomial is factorable?
x2 + kx +12
For example: k could be -7 because
x2 - 7x + 12 factors as: (x - 3)(x - 4).
A.) 1 (k could only be -7 because no other integer works)
B.) C.) D.) E.) F.) 6 or more

10. x2 + kx - 4 A.) 1 B.) 2 C.) 3 D.) 4 E.) 5 F.) 6 or more
In mathematics we sometimes us a letter to represent a constant (a number we would know in a particular problem). The letters we use for constants are usually a, b, c and k.
In the following expression, how many different integers could k represent so that the trinomial is factorable?
x2 + kx - 4
A.) 1 B.) 2 C.) 3 D.) E.) 5 F.) 6 or more

11. Which pair of polynomials have a factor in common?
I.) 6x2- 5x - 6
II.) 6x2 - x - 12
III.) 6x2+ 5x - 6
IV.) 6x2 - 5x - 4
A.) I and II B.) II and III C.) I and IV
D.) II and IV E.) III and IV F.) None of these

12. Which pair of polynomials have a factor in common?
I.) 6x2 + 13x -5
II.) 6x2 + x - 15
III.) 6x2+11x +3
IV.) 6x2 + 9x - 15
A.) I and II B.) II and III C.) I and IV
D.) II and IV E.) III and IV F.) None of these

13. ? 5x2 + kx - 6 I.) If k = 7, then 5x + 3 is a factor.
How many of the following statements are true? ?
true
false
5x2 + kx - 6
I.) If k = 7, then 5x + 3 is a factor.
II.) If k = -13, then x + 3 is a factor.
III.) If k = -7, then x - 2 is a factor
IV.) If k = 13, then 5x + 2 is a factor
A.) 0 B.) 1 C.) 2 D.) 3 E.) 4

14. 6x2 + kx -10 ? I.) If k = -11 then 3x + 2 is a factor.
How many of the following statements are true? ?
true
false
6x2 + kx -10
I.) If k = -11 then 3x + 2 is a factor.
II.) If k = -59 then 6x -1 is a factor.
III.) If k = 7 then x + 2 is a factor.
IV.) If k = -12 than the trinomial is prime.
V.) If k = -9 then 6x - 5 is a factor.
A.) 0 B.) 1 C.) 2 D.) 3 E.) 4 F.) 5