1.
2.
!
!
4.
a3 + t3
5.
9x
5
6.
5a 2b
7.
2y 7 3 2
8.
88
!
!
(
13
y +7
11.
2, -9
Perimeter = 4a + 8
Area = a2 + 4a
13.
B
14.
6a
a -1
15.
8
16.
8x 3 3 2
x
y
17.
9 3
)(
)
7, 0 , " 7, 0
-1/4
10.
! 12.
7, " 7
x - intercepts :
q +1
5q + 6
! 9.
!
Solutions :
3.
!
!
18x3 + 77x2 + 67x + 14
18.
x-coordinate of the vertex is ½
y-coordinate of the vertex is 15/2
Line of symmetry is x = ½
Maximum value of f(x) is 15/2
f(1/2) = 15/2 is a maximum
Graph C
19.
2
20.
2 8/11
21.
r5 – 3r4 + 6r3 + 8r2 + 5r – 9
22.
7(2v + 7p)(2v + 7p)
23.
w2 +
24.
7, -7
! 25.
!
(4m – 3)(4m – 3)
26.
x5
27.
5x6(x2 – 7x + 5)
28.
8z - 4
z-2
29.
The degree of the first term is 3
The degree of the second term is 2
The degree of the third term is 1
The degree of the fourth term is 0
The degree of the polynomial is 3
30.
(1, 0), (-4, 0)
31.
x2 – 8x + 16
32.
3 + i 19 3 " i 19
,
2
2
33.
(v + 2)(v + 2)
34.
1
h7
!
!
7
1
w+
10
10
35.
36m8
36.
{ x | -17 < x < -13, x > 11 }
37.
x=
38.
k = 5, y = 5x
! 39.
1
t15
41.
4
0.9
43.
c " 2 cd + d
c "d
44.
n "2
n +2
45.
-105
!
15 " 15
,
3
3
-1, -3
40.
! 42.
10 " 10
,
,
5
5
! 46.
6
47.
A
48.
15
49.
(7 – s)(4 – s)
50.
Discriminant = 944
B. The equation has two real solutions
51.
(7w – 9)(7w + 9)
52.
Vertex is at (-6, 9)
Line of symmetry is x = -6
Minimum value of f(x) is 9
f(-6) = 9 is a minimum
Graph C
53.
|a+9|
54.
-2x2 – 11xy – 3y2
55.
z 2 +14z
z 2 " 81
56.
3a2
! 57.
B
58.
y11
59.
85,900,000
60.
s(s + 5)(s – 7)
61.
213
62.
7, -4
63.
7 + 53, 7 " 53
64.
7x11 – 8x6 – 7x5 + 8
1
!
! 65.
66.
-19w2 + 5w
46