Factor the following expressions. The answer to each problem
will match a letter that will allow you to figure out the joke.
1. x2 + 9x - 22
M: (5x - 8)(2x - 3)
5: (3x - 5)(x -1)
0: (x + 11)(x- 2)
R: (3x + 1)(7x - 5)
3. 3x2 - 8x + 5
N: (x - 9)(x + 3)
4. 7x2 + 4x - 11
E:
(7x + 11)(x- 2)
T: (4x - 3)(3x - 2)
5. 21x2 - 8x - 5
A: (x - 9)(x + 8)
6. 10x2 + 3x - 1
E:
(2x + 3)(5x + 4)
C: (3x - 2)(5x - 1)
7. 10x2 + 23x + 12
W: (3x + 1)(7x + 2)
8. 12x2- 17x+ 6
D:
(5x -1)(2x + 1)
0: (7x + 11)(x- 1)
9. 10x2 - 31x + 24
X:
9
Answer:
Factoring trinomials
1
5
7
4
(3x - 5)(x + 3)
2
6
__
joke #31
Factor the following expressions. The answer to each problem
will match a letter that will allow you to figure out the joke.
R: (9x -1)(9 + 1)
6: 2(x - 2)(x2 + 2x + 4)
2. x3 + 64
Y: (7 - x2)(7 + x2)
E:
(x + 4)(x2 - 4x +8)
0: (x - 8)(x + 8)
4.
2x3 -
50x
M: (x2 + 1)(x + 1)(x -1)
A: 2x(x + 5)(x - 5)
5. 2x3 -16
T: (x2 + 1)(x4 - x2 + 1)
G: (x - 4)(x
+ 4)
V: (x2 + 1)(x2 - 2)
7. 64x3 + 27y3
5: (10x -1)(100x2 + 10x +1)
I
C: (3x - 1)(3x + 1)
9. 49 -
I: (x + 4)(X2 - 4x + 16)
X4
L: (4x + 3y)(16x2 - 12xy + 9y2)
10. 1000x3
-
1
10
10
An5wer:
Factoring
difference
of squareB and cubes
4
8
9
6
2
8
5
1
7
,
10
__
Joke #32
-
-
--
-
-
-....
-
--
Factor the following expressions. The anewer to each problem
will match a letter that will allow you to figure out the joke.
1. x3 + 2x2 + 7x + 14
A: (x + 3)(x + 2)(x - 2)
J: (4x -1)(x
+ 2)(x - 2)
K: (x + 2)(x - 2)(x + 8)
I: (X2+ 10)(x - 5)
P: (7x2 - 4)(x -1)
4. 4x3
Y: (x2 + 7)(x + 5)
6x2 + 10x - 15
-
M: (2X2- 3)(3x + 4)
5. 6x3
+ 8x2 - 9x - 12
E: (x2 + 7)(x
+ 2)
0: (2X2- 1)(3x + 4)
6. 7x3 - 7x2 - 4x + 4
T: (x2 + 4)(x + 3)
R: (2x2 + 5)(2x - 3)
7. 4x3 - x2- 1e?x+ 4
5: (7X2- 2)(x -1)
7
An5wer:
5
6
2
4
1
___
,I
I
'I
!~
l~
Factoring
by grouping
Joke #33
Factor the following expressions. The answer to each problem
will match a letter that will allow you to figure out the joke .
. -'.._ ~,:::.:: . -
1.
L-~
7
.
T: (2x + 11)(3y - 5)
40x + 100
L: -3(x + 3)(x - 3)
2. &-6
K: (2X2-1)(x + 2)(x - 2)
R: 5(x + 5)(X2 - 5x + 25)
3. ft - 3x2 - 8x -12
A: 4(x + 5)2
4. 9>C" - 7x2 -16
c: (2X2 + 3)(2x2 -
3)(X2 + 1)(x + 1)(x -1)
0: (X2+ 1)(3x + 4)(3x - 4)
5. -3x?- + 27
W: (2X2-1)(x + 3)(x - 3)
6. 5x3 + 625
D: 6(x2 + 1)(x + 1)(x - 1)
5: -3(x + 1)(x - 1)
7. 2.0 - 9x2 + 4
N: (2x + 3)(x + 2)(x - 2)
0: (2x - 7)(3y - 5)
8. 6xy - 21y - 10x + 35
E: (x + 5)(x + 2)(x - 2)
B
9. 4x
-
4
13x + 9
5
1
Anewer:
:=8ctoring: all mixed up
2
9
6
4
7
1
_
joke #34
Solve the following equations. The answer to each problem
will match a letter that will allow you to figure out the joke.
1. x2 + 7x - 8
2.
2x2
. -1±iV31
E·
8
=0
=
+ 5x - 4
. -1±V73
·
6
A
0
. -5±Y57
O· 4
3. 4x2
4x - 13 = 0
-
N: {1, -8}
4. 4x2 +
X
P:V2±2V2
+2 =0
E. 5±iV7
2
5. 3x + 7x - 3
=
·
0
. -5±V17
S
6. -4x2 + 5x - 2
=
8
·
4
U.· 1±V14
2
0
R. -7±Y85
·
6
Optional Tough Problem
Solve: (x + 2)2 + 7(x + 2) - 3
6
5
2
8
4
7
=0
1
Answer:
Solving with quadratic formula
Joke #36
Solve the following equations. The answer to each problem
will match a letter that will allow you to figure out the joke.
1. x2 + X
42
-
=0
H:
I± ~]
A:
I± ~]
E: {-7, 6}
:3. 3x2
= -x + 2
L: {±3, ±10}
W: {-7, 2}
4.
9x2
=1
N:
5.
>(4
+ 100
=
29x2
1-3, ~ ]
5: {±2, ±5}
I: {15, O}
2
6. 4x + x = 4x + 1
3
E:
7.
D:
8. 64 = 25x
X4
= 109x
2 -
~]
C: {O, 1}
3x2 = 15 - 4x
2
9.
1-1,
I~,±1]
900
1
Anawer:
Solving equations using factoring
4
6
9
2
7
5
_
Joke #35