2. Trinomial
3. FOIL
4. Zero-factor
5. Quadratic
Section6.9:p368/7–33odds
6.
x=
-b
b2 - 4ac
2a
7.
x 2 + 5 x + 6 = ( x + 2)( x + 3)
8.
x 2 + 5 x + 4 = ( x + 4)( x + 1)
9.
x 2 - x - 6 = ( x - 3)( x + 2)
10.
x 2 + 2 x - 3 = ( x -1)( x + 3)
11.
x 2 + 3 x -10 = ( x + 5)( x - 2)
12.
x 2 + 5 x -14 = ( x + 7)( x - 2)
13.
x 2 - 2 x - 3 = ( x + 1)( x - 3)
14.
x 2 - 5 x - 6 = ( x - 6)( x + 1)
15.
x 2 - 9 x + 18 = ( x - 6)( x - 3)
16.
x 2 - x - 30 = ( x + 5)( x - 6)
17.
x 2 -16 = ( x - 4)( x + 4)
18.
x 2 - 64 = ( x - 8)( x + 8)
19.
x 2 + 3x - 28 = ( x + 7)( x - 4)
20.
x 2 + 4 x - 32 = ( x - 4)( x + 8)
21.
x 2 - 2 x - 63 = ( x - 9)( x + 7)
22.
x 2 + 2 x - 48 = ( x - 6)( x + 8)
2 x 2 + 7 x + 3 = (2 x + 1)( x + 3)
CHAPTER 6 Algebra, Graphs, and Functions
3x 2 + x - 2 = (3x - 2)( x + 1)
24.
3 x 2 - 7 x + 2 = (3 x -1)( x - 2)
26.
2 x 2 - x - 3 = (2 x - 3)( x + 1)
28.
2 x 2 - 9 x + 10 = (2 x - 5)( x - 2)
23.
222
25.
27.
2
5 x + 12 x + 4 = (5 x + 2)( x + 2)
29.
4 x 2 + 11x + 6 = (4 x + 3)( x +
2)
30. 4 x 2Inc.
+ 20 x + 21 = (2 x + 7)(2 x + 3)
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© 2017 Pearson Education,
31.
4 x 2 -11x + 6 = (4 x - 3)( x - 2)
33.
8 x 2 - 2 x - 3 = (4 x - 3)(2 x + 1)
35.
( x - 4)( x + 3) = 0
x-4 = 0
or
x=4
32.
6 x 2 -11x + 4 = (3x - 4)(2 x -1)
34.
6 x 2 -13 x + 2 = (6 x -1)( x - 2)
36.
(2 x + 3)( x -1) = 0
x +3 = 0
2x + 3 = 0
x = -3
2 x = -3
x =-
37.
(3x + 4)(2 x -1) = 0
3x + 4 = 0
39.
38.
or 2 x -1 = 0
3x = -4
2x = 1
4
x =3
x=
40.
( x + 5)( x + 3) = 0
x +5 = 0
or
x = -5
41.
x=7
43.
( x - 6)(5 x - 4) = 0
x2 + 5x - 6 = 0
x +3 = 0
x+6 = 0
x = -3
x = -6
42.
( x - 7)( x -1) = 0
or
3
2
( x + 6)( x -1) = 0
x2 - 8x + 7 = 0
x-7 = 0
x =1
x - 6 = 0 or 5 x - 4 = 0
x=6
5x = 4
4
x=
5
1
2
x 2 + 8 x + 15 = 0
or x -1 = 0
or
x -1 = 0
x =1
x 2 - 9 x + 18 = 0
( x - 6)( x - 3) = 0
x -1 = 0
x-6 = 0
x =1
x=6
x 2 -15 = 2 x
44.
or
x -3 = 0
x=3
x 2 - 7 x = -6
x 2 - 2 x -15 = 0
x2 - 7 x + 6 = 0
( x - 5)( x + 3) = 0
( x - 6)( x -1) = 0
x - 5 = 0 or x + 3 = 0
x - 6 = 0 or x -1 = 0