Name: ________________________ Class: ___________________ Date: __________
03-03 Sample Quiz - Alternate Factoring Methods
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
____
1. Factor 5p (m  3)  3n (m  3)  2p (m  3)
3
a. (m  3) ÊÁË 3p  3n ˆ˜¯
b. (m  3) ÁÊË 3p  3n ˜ˆ¯
2. Factor (b  2) (a  2)  (2b  6) (a  2)
a. (a  2) (3b  4)
b.
____
(a  2) (3b  4)
d.
c.
d.
Ê
ˆ
(m  3) ÁÁ 10p 2  3n ˜˜
Ë
¯
3 (m  3) ÁÊË 3p  3n ˜ˆ¯
(2b  3) (a  2)
Cannot be factored.
3. Factor the following polynomial function by grouping:
f (x )  2x 3  3x 2  4x  6
a.
b.
____
2
c.
f (x )  (2x  3)(x 2  2)
f (x )  (x  3)(x 2  2)
c.
d.
f (x )  (x  3)(2x 2  3)
f (x )  2(x  1)(x 2  3)
4. Factor the following polynomial by grouping:
2x 3  10x 2  3x  15
Which of the below is a factor of the polynomial?
a. (2x 2  3)
c.
b.
(x  5)
2
d.
1
(x  5)
(2x  3)
ID: A
Name: ________________________
____
ID: A
5.
Use the graph of f(x)  x 3  3x 2  4 to
identify the values of x for which f(x)  0
and to factor f(x) .
a.
x  2 ; x  1
c.
f(x)  (x  1)(x  2) 2
b.
x  1 ; x  2
f(x)  (x  1)(x  2) 2
d.
x  1; x  2
f(x)  (x  1) 2 (x  2)
f(x)  (x  2)(x  1) 2
____
x  2; x  1
6.
Given the graph:
w (x )  x 4  5x 3  6x 2  3x  9
Which of the below would be a linear factor
of the polynomial function?
a.
b.
(x  3 )
(x  9 )
c.
d.
2
(x  1 )
(x  1 )