Question 1 (Multiple Choice Worth 4 points)
(08.01)
Identify the GCF of 10x4y3 - 5x3y2 + 20x2y.
10x2y
10x3y
5x2
5x2y
Question 2 (Multiple Choice Worth 4 points)
(08.05)
Which polynomial is a perfect square trinomial?
49x2 - 28x + 16
4a2 - 20a + 25
25b2 - 20b - 16
16x2 - 24x - 9
Question 3 (Multiple Choice Worth 4 points)
(08.02)
Factor completely 2x3 + 14x2 + 4x + 28.
2(x3 + 7x2 + 2x + 14)
(2x + 14)(x2 + 2)
2[(x + 7)(x2 + 2)]
(x + 7)(2x2 + 4)
Question 4 (Multiple Choice Worth 4 points)
(08.07)
A polynomial function can be written as (x + 2)(x + 3)(x - 5). What are the xintercepts of the graph of this function?
(2, 0), (3, 0), (-5, 0)
(-2, 0), (-3, 0), (5, 0)
(2, 0), (3, 0), (5, 0)
(-2, 0), (-3, 0), (-5, 0)
Question 5 (Multiple Choice Worth 4 points)
(08.07)
The graph below shows two polynomial functions, f(x) and g(x):
Which of the following statements is true about the graph above?
g(x) is an odd degree polynomial with a positive leading coefficient.
f(x) is an odd degree polynomial with a positive leading coefficient.
g(x) is an even degree polynomial with a negative leading coefficient.
f(x) is an even degree polynomial with a negative leading coefficient.
Question 6 (Multiple Choice Worth 4 points)
(08.03)
Identify the factors of x2 - 4x - 21.
(x - 7)(x + 3)
(x + 7)(x - 3)
(x + 21)(x - 1)
(x - 21)(x + 1)
Question 7 (Multiple Choice Worth 4 points)
(08.02)
Select the factors of 6ab + 3ay - 2bx - xy.
(3a - x) (2b + y)
(3a - y)(2b + x)
(2a - x)(3b + y)
(2a - y)(3b + x)
Question 8 (Multiple Choice Worth 4 points)
(08.07)
Which of the following is the graph of f(x) = x2 - 4x - 5?
Question 9 (Multiple Choice Worth 4 points)
(08.06)
Some steps to rewrite the expression x3 - 16x + x2 - 16 as a product of three factors are
shown below:
Step 1: x3 - 16x + x2 - 16
Step 2: x3 + x2 - 16x - 16
Step 3: x2(x + 1) - 16(x + 1)
Which of the following best shows the next two steps to rewrite the expression?
Step 4: (x2 + 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 - 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 - 16)(x + 1); Step 5: (x - 4)(x + 4)(x + 1)
Step 4: (x2 + 16)(x + 1); Step 5: (x - 4)(x + 4)(x + 1)
Question 10 (Multiple Choice Worth 4 points)
(08.01)
Factor completely 12a3d2 - 6ad3.
Prime
6a3d3(2a - d)
6ad2(2ad - d)
6ad2(2a2 - d)
Question 11 (Multiple Choice Worth 4 points)
(08.03)
Factor completely 3x3 + 6x2 - 24x.
3x(x - 4)(x + 2)
3x(x + 4)(x - 2)
3x(x - 3)(x + 2)
3x(x + 3)(x + 2)
Question 12 (Multiple Choice Worth 4 points)
(08.01)
Factor completely -5x2 + 10x – 15.
-5(x2 - 2x + 3)
-1(x2 - 10x + 15)
-5x(x2 - 2x + 3)
-5(x2 - 2x - 3)
Question 13 (Multiple Choice Worth 4 points)
(08.06)
Factor completely 25x2 - 36.
(25x - 6)(x + 6)
(25x + 6)(x - 6)
(5x + 6)(5x - 6)
(5x - 6)(5x - 6)
Question 14 (Multiple Choice Worth 4 points)
(08.07)
Which of the following functions best represents the graph?
f(x) = x3 + x2 - 4x - 4
f(x) = x3 + x2 - x - 1
f(x) = x3 + 3x2 - 4x - 12
f(x) = x3 + 2x2 - 2x - 1
Question 15 (Multiple Choice Worth 4 points)
(08.06)
Which shows 602 - 402 being evaluated using the difference of squares method?
602 - 402 = (3600 + 1600)(3600 - 1600) = 10,400,000
602 - 402 = 3600 - 1600 = 2,000
602 - 402 = (60 - 40)2 = 202 = 400
602 - 402 = (60 + 40)(60 - 40) = (100)(20) = 2,000
Question 16 (Multiple Choice Worth 4 points)
(08.03)
Determine the factors of 3x2 + 10x - 8.
(3x - 8)(x + 1)
(3x - 1)(x + 8)
(3x - 4)(x + 2)
(3x - 2)(x + 4)
Question 17 (Multiple Choice Worth 4 points)
(08.01)
Factor completely 6x4y3 + 21x3y2 - 9x2y.
3xy(2x3y2 + 7xy - 3x)
3x2y(2x2y2 + 7xy - 3)
3x2y3(2x2 + 7xy - 3)
3x2y(2x2y + 7xy - 3y)
Question 18 (Multiple Choice Worth 4 points)
(08.02)
Determine the factors of ax + ab + 2by + 2xy.
(x + y)(a + 2b)
(x + 2y)(a + b)
(x + b)(a + 2y)
(x + a)(2y + b)
Question 19 (Multiple Choice Worth 4 points)
(08.05)
Identify the factors of 4x2 + 12x + 9.
(4x - 3)(x - 3)
(4x + 3)(x + 3)
(2x - 3)(2x - 3)
(2x + 3)(2x + 3)
Question 20 (Multiple Choice Worth 4 points)
(08.03)
What are the factors of 3x2 + 13x + 4?
(3x + 1)(x + 4)
(3x + 4)(x + 1)
(3x - 4)(x + 1)
(3x - 1)(x + 4)
Question 21 (Multiple Choice Worth 4 points)
(08.03)
Factor x2 - 2x + 3.
(x - 3)(x - 1)
(x + 3)(x + 1)
(x - 3)(x + 1)
Prime
Question 22 (Multiple Choice Worth 4 points)
(08.06)
Which polynomial is a difference of two squares?
x2 + 25
x2 - 25
x2 - 10
x2 + 10
Question 23 (Multiple Choice Worth 4 points)
(08.06)
What are the factors of x2 - 25?
(x - 5)(x - 5)
(x + 5)(x - 5)
(x - 1)(x + 25)
Prime
Question 24 (Multiple Choice Worth 4 points)
(08.05)
Select the factors of x2 - 12x + 36.
(x - 6)(x - 6)
(x + 6)(x + 6)
(x + 3)(x + 12)
(x - 3)(x - 12)
Question 25 (Multiple Choice Worth 4 points)
(08.07)
What are the zeroes of f(x) = x2 - x - 2?
x = -2, 1
x = 2, -1
x = -2, -1
x = 2, 1