Extra: Factoring by Grouping
66 - 2b 30 +r4 = x
"Mcv
es
+41bx 2
= 3a (2x - 1) + 2b (2x
= (2x 1) (3a + 2b)
1, x2 + 2x+xy+ 2y
8. n2 + 2n+ 3mn+ 6m
2, 3a2 - 2b - 6a + ab
9, 2ax2 + bx2 - 2ay2 - by2
3. t3 - t2 + t - 1
10. yz2 - y3 + z3 - y2z
Hint: t - 1 = 1 (t - 1)
4. 10 + 2t - 5s - st
11. y3 - y2 - 4y + 4
2
14
5, — bc - — b + c - 7
3
12. x2a + x2b - 16a - 16b
6, 4u2 + v + 2uv + 2u
13. x3 +x2 -x- 1
7. ad + 3a - d2 - 3d
14. a3 - a2 - 8a + 8
Algebra IF8762
48
MCMXCIV Instructional Fair, Inc.
Factor the following expressions. The answer to each problem
will match a letter that will allow you to figure out the joke.
1. 4x2 + 40x + 100
1: (2x + 11)(3y — 5)
L: -3(x + 3)(x — 3)
2. 6x4 — 6
K: (2x2 —1)(x + 2)(x — 2)
R: 5(x + 5)(x2 — 5x + 25)
3. 2x3 + 3x2 — 8x —12
A: 4(x + 5)2
a
4. 9x4 — 7x2 — 16
C: (2x2 + 3)(2x 2 — 3)(x2 + 1)(x + 1)(x —1)
0: (x2 + 1)(3x + 4)(3x — 4)
S. -3x2 + 27
W: (2x2 —1)(x + 3)(x — 3)
6. 5x3 + 625
12: 6(x2 + 1)(x + 1)(x —1)
S: -3(x + 1)(x —1)
7. 2x4 — 9x2 + 4
N: (2x + 3)(x + 2)(x — 2)
8. 6xy — 21y —10x + 35
0: (2x — 7)(3y — 5)
E: (x + 5)(x + 2)(x — 2)
9. 4xa —13x4 + 9
1
3
8 5
2
9
6 4
1
7
Answer:
Factoring: all mixed up
Joke #34
1,
QA)
n , c)
yvivo
In 1-3, factor the difference of two squares.
1. x 2 — 4
2. 4x 2 — 25
9x2 —
1
In 4-6, factor the sum or difference of two cubes.
4. x 3 + 1
5. x 3 — 64
6. 8x3 — 1
In 7-9, factor the polynomial by grouping.
& 2x3 — 6x + 3x — 9
9. 3x 3 6x 2 — 2x -- 4
10. x2 — 2x + 1
11. x2+xj-6bv"
12. 2x2 +3x — 2
13. x2+4x+3
14. x2 +4x +4
15. 4x2 + 45F
7. x 3 + 2x2 +4x+8
In 10-15, factor the trinomial.
In 16-21, factor the polynomial completely with.respect to the integers.
16. 2x 3 — 18x
17. x 4 — 16
it 3x3—.3x2-6S
19. x4 + 2x 2 — 3
20. 54x3 + 2
21. x4 + 2x3 — 8x — 16