ICNS015 Refresher Mathematics
Exercises #6
Name_______________________________________________ Student ID_________________________ Section_______
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
1) Completely factor: 4xy3 + 6xy2 - 2xy4
1)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
2) One factor of 2x 2 y3 - 4xy4 is
A) 2y 2 - 4
B) x - 2y
C) 2xy4
D) 4x 2y 4
E) 2x 2y 3
3) One factor of x 2 + 8x - 20 is
A) x + 5
B) x + 4
C) x - 1
D) x + 20
E) x - 2
4) One factor of 8x 2 + 6x - 27 is
A) 4x - 3
B) 4x - 9
C) 8x + 1
D) 2x - 27
E) 2x - 3
5) One factor of 6x 2 - 17x + 10 is
A) x + 2
B) 3x - 5
C) 2x - 5
D) x - 2
E) 6x + 5
2)
3)
4)
5)
6) Factoring x 4 - 81 gives
A) (x 2 + 9)(x 2 + 9)
B) (x + 3)2 (x - 3)2
C) (x 2 + 9)(x + 3)(x - 3)
D) (x 2 - 9)(x + 3)(x - 3)
E) (x 2 -9)(x 2 - 9)
6)
7) Factoring (x + 8)4 (x + 2)3 - (x + 8)3 (x + 2)4 gives
A) 2(x + 8)3 (x + 2)3 (x + 5)
B) 6(x + 8)3 (x + 2)3
C) 0
D) 10(x + 8)3(x + 2)3
E) none of the above
7)
8) Rationalizing the denominator in
A) -3 +3
9) Simplify:
2
B) 1 -
2
3
gives
1+ 2
8)
C) -2 + 5 2
D) 6 - 4 2
E) 4 - 3 2
x + y 6x + 9y
·
3
x+y
A) 2x + 3
B)
9)
1
2x + 3y
C) -6x + 9y
1
D) -(2x + 3y)
E) 2x + 3y
10)
11)
12)
2x 2 +5x - 3
4x 2 - 1
÷
=
x 2 - 8x + 16 x 2 - x - 12
A)
(x + 3)2
(x - 4)(2x + 1)
B)
2x 4 + 3x 3 - 35x 2 - 57x +36
4x 4 - 32x 3 + 60x 2 + 8x - 16
C)
2x 2 - 3x +7
4x 2 - 6x + 1
D)
(2x - 1)2 (2x + 1)
(x - 4) 3
E)
(x + 3)(x -3)
2(x - 2)2
x
x 2 - 2x - 8
-
2
x 2 + 4x + 4
A)
4(x 2 + 3x + 5)
(x + 2)2 (x - 4)
B)
4(x + 3)
(x + 2)(x - 4)
C)
x 2 + 6x + 14
(x + 2)(x - 4)
D)
4(x 2 + x + 3)
(x + 2)2 (x - 4)
E)
10
(x + 2)(x - 4)
+
10)
3
=
x-4
11)
x -1 + x
=
(1 - x -1) -1
A)
(x2 + 1)(x - 1)
x2
B)
1 - x + x2 - x3
x
C)
x2 + 1
x(1 - x)
D)
2x
1-x
12)
E) 0
2