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Name:_________________________________ 1. ________ Where Do Tadpoles in the Pawn Shop Come From? 2. ________ Why Didn’t Klutz Do Any Homework on Saturday? 3. ________ A Drastic Way to Diet 4. ________ Did You Hear About … 5. ________ When is a Wrestler “King of the Ring”? 6. ________ How Can Fishermen Save Gas? 7. ________ Why Doesn’t Gyro Bet on Even? 8. ________ What Happened When the Boarding House Blew Up? 9. ________ What Do You Call Drawing Squares on Dracula? 10 . ________ How Did Snidley Spellbinder Write a Four-Letter Word that Begins and Ends with “E”? 11 . ________ What Happens to People Who Don’t Know Toothpaste From Putty? 12 . ________ Why Are Small Balloons Cheaper Than Larger Balloons? 13 . ________ What Should You Say If You See a Tall, Wrought Iron Tower in Paris, France? 14 . ________ Moving Words 15 . ________ What is the Title of This Picture? 16 . ________ Did You Hear About… 17 . ________ What Happened When Zonk Blew Air into a Rubber Glove? Factoring Packet Due the day after the Chapter 5 Test

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Page 1: cunninghamwahs.wikispaces.comcunninghamwahs.wikispaces.com/file/view/Factoring+Pa…  · Web viewFind the factored form in the answer column nearest the exercise, and notice the

Name:_________________________________

1. ________ Where Do Tadpoles in the Pawn Shop Come From?

2. ________ Why Didn’t Klutz Do Any Homework on Saturday?

3. ________ A Drastic Way to Diet

4. ________ Did You Hear About …

5. ________ When is a Wrestler “King of the Ring”?

6. ________ How Can Fishermen Save Gas?

7. ________ Why Doesn’t Gyro Bet on Even?

8. ________ What Happened When the Boarding House Blew Up?

9. ________ What Do You Call Drawing Squares on Dracula?10. ________ How Did Snidley Spellbinder Write a Four-Letter Word that Begins and

Ends with “E”?11. ________ What Happens to People Who Don’t Know Toothpaste From Putty?

12. ________ Why Are Small Balloons Cheaper Than Larger Balloons?

13. ________ What Should You Say If You See a Tall, Wrought Iron Tower in Paris,

France?14. ________ Moving Words

15. ________ What is the Title of This Picture?

16. ________ Did You Hear About…

17. ________ What Happened When Zonk Blew Air into a Rubber Glove?

Factoring PacketDue the day after the Chapter 5

Test

Page 2: cunninghamwahs.wikispaces.comcunninghamwahs.wikispaces.com/file/view/Factoring+Pa…  · Web viewFind the factored form in the answer column nearest the exercise, and notice the

Factor each polynomial below as the product of its greatest monomial factor and another polynomial. Find you answer and notice the letter next to it. Write this letter in each box that contains the number of that exercise.

1. 3x2 + 18x + 9 6. n3 + n2 + n 11. 4k3 – 32k2. 2x2 + 10x + 12 7. n4 – n3 + n2 12. 6k3 + 10k2

3. 7x2 + 14x + 35 8. 2n3 – n2 – 5n 13. 5k3 + 15k2 + 10k4. 5x2 – 20x + 10 9. 3n2 + 9n 14. 4k4 - 20k3 + 4k5. 6x2 + 9x – 21 10. 7n2 – 28n 15. 4k4 + 18k3 – 6k2

Answers Answers AnswersD. 3(2x2 + 3x – 7) S. n(2n2 – 2n – 6) P. 4k(k3 – 5k2 + 1)

L. 3(2x2 + 4x – 5) O. n2(n2 – n + 1) R. 5k(k2 + 3k + 2)A. 3(x2 + 6x + 3) I. 7n(n + 5) S. 4(k3 – 8k2 + 2)P. 5(x2 – 2x + 5) F. 3n(n + 3) G. 4k(k2 – 8)F. 5(x2 – 4x + 2) E. n2(n2 – 2n + 3) L. 5k(k2 + 4k + 1)O. 2(x2 + 5x + 6) A. n(n2 + n + 1) W. 2k2(2k2 + 9k – 3)B. 7(x2 + x + 6) M. n(2n2 – n – 5) T. 2k2(3k – 9)E. 7(x2 + 2x + 5) R. 7n(n – 4) N. 2k2(3k + 5)

Where Do Tadpoles in the Pawn Shop Come From?

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4 10 2 8 1 9 13 7 11 14 6 15 12 3 5

Either multiply or factor, as directed, and find your answer in the adjacent answer column. Write the letter of that exercise in the box that contains the number of the answer.

Multiply: 4 16a2 – b2 Factor: 3 (9x + 10y)(9x – 10y)

I (a + 5)(a – 5) 13 49a2 – 1 S x2 – y2 5 (x + y)(x – y)

D (2 + 3a)(2 – 3a) 6 a2 – 25 I 4x2 – 49y2 7 (x2 + 20)(x2 – 20)

E (7a – 1)(7a + 1) 17 4a4 – 25b2 W 81x2 – 100y2 11 (6x + 11y)(6x – 11y)

N (a2 – 6)(a2 + 6) 15 4 – 9a2 E 36x2 – 121y2 16 (3x + 7y)(3x – 7y)

A (4a + b)(4a – b) 12 4a2 – 36 O 9x2 – 64y2 22 (2x + 7y)(2x – 7y)

O (2a2–5b)(2a2+5b) 24 a4 – 36 N x4 - 400 23 (3x + 8y)(3x – 8y)

Factor: 1 (2n + 3)(2n – 3)

Factor: 19 (4+a2b3)(4-a2b3)

E n2 – 49 10 (12+5n)(12-5n)

T a6 – b4 14 (2a8+15)(2a8-15)

A n2 – 1 8 (n+1)(n-1) C 25a8 – 9b4 21 (a3+b2)(a3-b2)

1989 Creative Publications OBJECTIVE: To factor a polynomial as the product of its greatest monomial factor and another polynomial (polynomials in one variable)Why Didn’t Klutz Do Any Homework on

Saturday?

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N 81 – n2 5 (7n+3)(7n-3) W a2b2 – 36 12 (ab2+c4)(ab2-c4)

H 4n2 – 9 2 (n+7)(n-7) D 16 – a4b6 9 (ab+6)(ab-6)

I 49n2 – 16 18 (9+n)(9-n) K a2b4 – c8 16 (5a4+3b2)(5a4-3b2)

E 144 – 25n2 20 (7n+4)(7n-4) N 4a16 – 225 10 (4+ab4)(4-ab4)

1 2 3 4 5 6 7 8 9 10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

1989 Creative Publications OBJECTIVE: To simplify products of the form (a+b)(a-b); to factor difference of squares.

Page 5: cunninghamwahs.wikispaces.comcunninghamwahs.wikispaces.com/file/view/Factoring+Pa…  · Web viewFind the factored form in the answer column nearest the exercise, and notice the

Factor each trinomial below. Find the factored form in the set of answers under the exercise and cross out the letter above it. When you finish, the diet will remain. You might call it the “Algebra diet.”

1 m2 + 8m + 7 7 d2 – 8d + 15 13 x2 + 5xy + 4y2

2 m2 + 5m + 6 8 d2 – 12d + 20 14 x2 – 18xy + 32y2

3 m2 + 10m + 9 9 d2 + 14d + 13 15 x2 – 13xy + 40y2

4 m2 – 6m + 8 10 d2 – 13d + 36 16 x2 + 7xy + 12y2

5 m2 – 8m + 12 11 d2 + 17d + 30 17 x2 – 27x + 26y2

6 m2 + 11m + 24 12 d2 + 9d + 18 18 x2 + 19xy + 60y2

G E B A S U T O Y F N U L E O M A T O R E G I A N L T

(m –

2)(

m –

4)

(m +

9)(

m +

1)

(m +

8)(

m +

1)

(m –

2)(

m –

6)

(m +

7)(

m +

1)

(m +

3)(

m +

4)

(m +

2)(

m +

3)

(m +

8)(

m +

3)

(m –

2)(

m –

8)

(d +

1)(

d +

13)

(d +

2)(

d +

9)

(d +

2)(

d +

15)

(d -

5)(d

- 3)

(d -

10)(

d - 2

)(d

- 2)

(d -

18)

(d -

5)(d

- 4)

(d -

4)(d

- 9)

(d +

6)(

d +

3)

(x –

16y

)(x

– 2y

)

(x +

4y)

(x +

(x

+ 2

y)(x

+ 4

y)(x

+ y

)(x

+ 4

y)(x

+ 4

y)(x

+ 3

y)(x

+ 2

0y)(

x +

(x

– 5

y)(x

– 8

y)(x

– 2

y)(x

– 1

3y)

(x –

26y

)(x

- y)

A Drastic Way to DietAn extreme but effective way to diet is hidden in the letters below. To find it:

1989 Creative Publications OBJECTIVE: To factor trinomials of the form x2 + bx + c, where c is positive.Did You Hear About…

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(t + 3)(t – 2) A B C D (x – 18)(x + 1)

STARTED WANTED(t + 6)(t – 1) E F G H (x + 9y)(x –

4y)WHO KIT

(t + 6)(t – 2) I J K L (x – 18y)(x + 2y)

RED BAND(t + 5)(t – 2) M N O P (x – 12y)(x +

3y)THE AID

(t – 9)(t + 8)

Factor each trinomial below. Find the factored form in the answer column nearest the exercise, and notice the word beneath it. Write this word in the box containing the letter of that exercise. Keep working and you will hear about a kitty cat.

(x + 5y)(x – 3y)

BECAUSE A(t – 4)(t + 2) (x + 8)(x – 3)

JOINED TO(t – 4)(t + 5) (x + 6)(x – 4)

ARMY HELP(t – 10)(t +

2) A t2 + 3t - 10 I x2 + 3x - 18 (x + 6)(x – 3)

CROSS B t2 + 4t - 21 J x2 – 17x - 18 IT

(t + 7)(t – 3) C t2 + 5t - 6 K x2 + 5x - 24 (x – 25y)(x + 2y)

CAT D t2 – 2t - 8 L x2 – 10x - 24 LION

(t + 4)(t – 3) E t2 – 10t – 11 M x2 + 2xy – 15y2 (x – 12)(x + 2)

AFTER F t2 + 4t - 12 N x2 – 5xy – 50y2 BE

(t – 11)(t + 1)

G t2 – 8t - 20 O x2 – 9xy – 36y2 (x – 10y)(x + 5y)

THE H t2 – t - 72 P x2 + 5xy – 36y2 FIRST

1989 Creative Publications OBJECTIVE: To factor trinomials of the form x2 – bx + c, where c is negative.

Page 7: cunninghamwahs.wikispaces.comcunninghamwahs.wikispaces.com/file/view/Factoring+Pa…  · Web viewFind the factored form in the answer column nearest the exercise, and notice the

Factor each trinomial below. Find your answer and notice the letter next to it. Write this letter in the box containing the number of that exercise. Keep working and you will get the gripping answer to the title question.

1. n2 + 6n + 5 8. t2 + 10t + 16 15. a2 + 5ab + 6b2

2. n2 + 7n + 10 9. t2 – 15t + 50 16. a2 – 4ab – 21b2

3. n2 – 7n + 12 10. t2 + 8t - 9 17. a2 + 6ab – 7b2 4. n2 – 11n + 28 11. t2 - 7t - 30 18. a2 – 14ab – 32b2 5. n2 + 2n – 15 12. t2 – t - 30 19. a2 – 29ab + 100b2

6. n2 – 5n - 24 13. t2 + 14t + 48 20. a2 + 7ab – 18b2 7. n2 + n - 56 14. t2 + 8t - 48 21. a2 + 2ab + b2

Answers Answers Answers L (n + 2)(n + 6) N (t – 6)(t + 5) K (a – 8b)(a + 4b) H (n + 5)(n – 3) V (t – 25)(t + 2) H (a + 7b)(a – b) W (n + 5)(n + 1) T (t – 5)(t – 10) A (a – 20b)(a + 5b)

E (n – 3)(n – 4) T (t + 6)(t + 8) E (a + 2b)(a + 3b) B (n – 1)(n + 15) O (t – 10)(t + 3) W (a + 9b)(a – 2b) S (n + 8)(n – 7) B (t + 15)(t – 2) T (a – 7b)(a + 3b) H (n + 2)(n + 5) I (t + 8)(t + 2) O (a – 25b)(a – 4b) E (n – 8)(n + 3) H (t – 4)(t + 12) S (a + 6b)(a + 3b) R (n – 12)(n – 2) S (t + 9)(t – 1) N (a + b)(a + b) N (n – 7)(n – 4) A (t – 24)(t + 2) R (a – 16b)(a + 2b)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

18

19

20

21

When is a Wrestler “King of the Ring”?

1989 Creative Publications OBJECTIVE: To factor trinomials of the form x2 + bx + c, where c is positive or negative (review).

Page 8: cunninghamwahs.wikispaces.comcunninghamwahs.wikispaces.com/file/view/Factoring+Pa…  · Web viewFind the factored form in the answer column nearest the exercise, and notice the

Factor each trinomial below. Find one of the factors in each column of binomials. Notice the letter next to one factor and the number next to the other. Write the letter in the box at the bottom of the page that contains the matching number.

1 4n2 - 49 3 (n + 1) O (n – 3)2 n2 + 8n + 12 11 (n + 2) G (2n – 7)3 n2 – 9n + 20 2 (n + 8) P (n – 5)4 n2 + 16n + 64 9 (2n + 7) S (3n – 5)5 n2 + 2n – 15 4 (n + 5) Y (n + 8)6 3n2 – 8n + 5 18 (n – 1) K (3n – 1)

14 (n – 4) A (n + 6)

7 a2 + 4a - 21 1 (a – 5) G (2a + 1)8 5a2 + 9a - 2 13 (a + 7) B (a – 6)9 2a2 + 11a + 15 5 (5a + 1) P (a – 3)10 1 – 9a4 7 (a + 2) O (a + 3)11 a2 – 11a + 30 15 (a – 1) I (5a – 1)12 10a2 – 3a - 1 8 (1 – 3a2) R (2a -1)

16 (2a + 5) N (1 + 3a2)

13 8u2 + 19u + 6 10 (u + 3) M (u + 1)14 25u2 – 20u + 4 12 (2u + 9) B (2u + 1)15 3u2 – 11u – 14 17 (u – 3) O (8u + 3)16 u2 – 4u - 21 3 (5u – 2) L (2u – 1)17 6u2 + 17u – 10 6 (3u – 14) C (u – 7)18 2u2 + 5u – 18 15 (u + 2) R (u – 2)

17 (3u + 10) F (5u – 2)1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

How Can Fishermen Save Gas?

1989 Creative Publications OBJECTIVE: To factor trinomials using the methods of preceding pages (review).

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Factor completely each polynomial below. Find your answer and notice the two letters next to it. Write these letters in the two boxes at the bottom of the page that contain the number of that exercise.

1 3x2 – 75 LO 5(x – 4) 2 SF 5(x + 3) 2

2 5x2 + 30x + 45 EL 2(x - 12) 2 NT 2(x – 6) 2

3 x3 – 49x HE 3(x+5)(x-5) CH 3(x+2)(x-2)

4 2x2 – 24x + 72 EA x(x+8)(x-8) ST x(x+7)(x-7)

5 2k3-8k HI 5k(k + 10) 2 HE 2k(k+2)(k-2)

6 54k2 – 24 EN 3(k – 2) 2 LS 6(3k+1)(3k-1)

7 5k3 + 100k2 + 500k SO 2k(k+4)(k-4) OR 3(2k – 3) 2

8 12k2 – 36k + 27 DS 6(3k+2)(3k-2) TE 5k(k+8) 2

9 7a3b – 7ab3 MI 7ab(a + 2b) 2 AT 2b2 (2a + 4) 2

10

32a2b2 + 16ab2 + 2b2 LA 4ab(a – 3b) 2 AV 4ab(a – 5b) 2

11

4a3b – 40a2b2 + 100ab3 OD a2b(2ab+1)(2ab-1) MA a2b(ab+2)(ab-2)

12

4a4b3 – a2b WA 7ab(a+b)(a-b) IN 2b2 (4a + 1) 2

5 5 9 9 4 4 3 3 1 1 12

12

6 6 10

10

7 7 2 2 11

11

8 8

Why Doesn’t Gyro Bet on Even Numbers When Playing Roulette??

Page 10: cunninghamwahs.wikispaces.comcunninghamwahs.wikispaces.com/file/view/Factoring+Pa…  · Web viewFind the factored form in the answer column nearest the exercise, and notice the

Factor each trinomial below. Find one of the factors in each column of binomials. Notice the letter next to one factor and the number next to the other. Write the letter in the box at the bottom of the page that contains the matching number.

1 3x2 + 7x + 2 5 (5u + 3) Y (3u - 2)2 2x2 + 5x + 3 3 (x - 1) E (x - 5)3 3x2 – 16x + 5 8 (3x + 1) G (8u - 1)4 7x2 – 9x + 2 14 (3u - 1) O (7x - 2)5 6u2 + 5u + 1 6 (2u + 3) R (5u + 1)6 8u2 – 9u + 1 15 (x + 1) W (x + 2)7 10u2 + 17u + 3 9 (5u + 6) L (7x + 2)8 9u2 – 9u + 2 7 (2u + 1) I (2x + 3)9 5u2 + 11u + 6 11 (3x - 1) E (u + 1)

17 (u – 1) S (3u + 1)

10 3n2 + 2n - 1 12 (3t - 1) N (n + 3)11 5n2 – 4n - 1 5 (n – 1) R (t - 1)12 2n2 + 5n - 3 4 (3t + 1) P (2t + 1)13 7n2 – 13n - 2 10 (n - 2) O (n + 1)14 3t2 + 14t - 5 13 (t + 1) F (t + 5)15 4t2 – 11t + 7 2 (3n - 1) E (5n + 1)16 6t2 + 5t - 1 16 (2n - 1) M (t - 7)17 3t2 – 20t - 7 4 (3t - 7) R (7n + 1)

1 (4t - 7) L (6t - 1)1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

What Happened When the Boarding House Blew Up?

1989 Creative Publications OBJECTIVE: To factor trinomials of the form ax2 + bx + c, where a is a positive integer greater than 1.

Page 11: cunninghamwahs.wikispaces.comcunninghamwahs.wikispaces.com/file/view/Factoring+Pa…  · Web viewFind the factored form in the answer column nearest the exercise, and notice the

Factor each trinomial below. Find both factors in the rectangle below and cross out each box containing a factor. You will cross out two boxes for each exercise. When you finish, print the letters from the remaining boxes in the squares at the bottom of the page.

1 6x2 + 19x + 3 6 15m2 + 19m + 62 5x2 – 9x - 2 7 8m2 – 5m - 33 9x2 + 15x + 4 8 4m2 – 17m + 184 7x2 + x - 8 9 14m2 + 17m - 225 2x2 – 21x + 40 10 3m2 – m - 30

BI

(4m – 9)

TH

(3x + 1)

TE

(m – 2)

CH

(m – 3)

OP

(2x – 5)

AR

(3m–10)

AN

(14m–11)

EC

(2m – 3)

HS

(5x + 1)

SU

(6x + 1)

KI

(15m+ 1)

LL

(x + 3)

SS

(m + 2)

NG

(x + 4)

NE

(5m + 3)

SU

(x – 2)

CK

(3m + 2)

AC

(9x + 2)

AB

(7x + 8)

EN

(3x + 4)

OU

(7x + 2)

GH

(8m + 3)

PI

(m + 3)

NT

(7m + 2)

LO

(x – 8)

VE

(m – 1)

OD

(x – 1)

What Do You Call Drawing Squares on Dracula?

1989 Creative Publications OBJECTIVE: To factor trinomials of the form ax2 + bx + c, where a is a positive integer greater than 1.

Page 12: cunninghamwahs.wikispaces.comcunninghamwahs.wikispaces.com/file/view/Factoring+Pa…  · Web viewFind the factored form in the answer column nearest the exercise, and notice the

Write each expression below in factored form. Find your answer in the set of answers under the exercise and cross out the box above it. When you finish, the answer to the title question will remain.

1 x2 + 3x + xk + 3k 7 m3 + m2n + mn2 + n3

2 a2 – 2a + ad – 2d 8 u3 – u2v + uv2 – v3

3 uv + 5u + v2 + 5v 9 t2 + 2t + 3kt + 6k4 x2 – xk + 4x – 4k 10 2ab + 14a + b + 75 ad + 3a – d2 – 3d 11 m2 + mn – 3m – 3n

6 y3 + y2 + 2y + 2 12 5x2y – x2 + 5y – 1

B W E A I N T R H A L G E T I A S P E N

(a-d

)(d+3

)

(u+2

)(v+5

)

(x+4

)(x-k

)

(a +

d)(a

-2)

(2y2 +

1)(y

+1)

(x +

k)(x

+3)

(a-d

)(d-2

)

(y2 +

2)(y

+1)

(x +

k)

(u +

v)(v

+5)

(u2 +

v2 )(u-

v)

(x2 +

1)(5

y-1)

(7a+

2)(b

+7)

(t+3k

)(t+2

)

(m2 +

n2 )(

m+

(3t-k

)(t+2

)

(m2 -2

)(m+

n)

(2a+

1)(b

+7)

(2x+

5)(5

y-1)

(m-3

)(m+

n)

How Did Snidely Spellbinder Write a Four-Letter Word That begins and Ends With “E”?

1989 Creative Publications OBJECTIVE: To factor polynomials by grouping.

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Factor completely each polynomial. Find your answer below and notice the letter next to it. Write this letter in each box containing the number of that exercise.

1 3x3 + 21x2 + 30x 8 2ax2 – 22ax + 60a

2 x4 + x3 – 56x2 9 x4 – y4

3 x2 + 5x + xy + 5y 10 x3 – 9x + 5x2 – 45

4 36x3 – 64x 11 2ax2 + 8ax + x + 4

5 x2 – xd + 7x – 7d 12 x4 – 29x2 + 100

6 35x2 – 100x – 15 13 x2y2 – y2 – 15x2 + 15

7 xy + 8x – y2 – 8y 14 8x4 + 56x3 + 98x2

Answers: Answers:

V x2(x+28)(x+2) D (2ax+1)(x + 4)

N (x+y)(x+5) B (x+5)(x-5)(x2+3)

F (x-y)(y+8) W 2x2 (2x+7) 2

R 3x(x+5)(x+2) U (x2+y2)(x+y)(x-y)

S (x+7)(x-d) L (x+2)(x-2)(x+5)(x-5)

M (x-2y)(y+4) H 2a(x-6)(x-5)

A x2 (x+8)(x-7) P (2ax-4)(x+1)

E 5(7x+1)(x-3) O (y2-15)(x+1)(x-1)

K (x-7)(x2+d) I (x+5)(x+3)(x-3)

T 4x(3x+4)(3x-4) G (y2-15)(x+5)(x-2)

Y 5(7x-1)(2x+3) C 2a(x+15)(x-2)

4 8 6 10 1 14 10 3 11 13 14 5 7 2 12 12 13 9 4

What Happens to People Who Don’t Know Toothpaste From Putty?

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Factor completely each polynomial below. Find your answer below the exercise and notice the letter next to it. Write this letter in each box containing the number of that exercise.

1 a2 – 9ab + 20b2 7 2x3 – 12x2y – 14xy2

2 3a2 + 6ab – 24b2 8 9x3 – 6x2y + xy2

3 7a2 – 28b2 9 15x2 + 35xy – 50y2

4 4a2 + 14ab + 12b2 10 x 4 + 12x3y + 35x2y2

5 a3 – 4a2b – 21ab2 11 15x4 – 27x3y – 6x2y2

6 a3b – ab3 12 8x3y – 50xy3

Answers: Answers:

1989 Creative Publications OBJECTIVE: To factor polynomials completely (includes factoring by grouping).

Why Are Small Balloons Cheaper Than Large Balloons?

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E 7(a + 4b)(a + b) F 5(3x + 10y)(x – y)

A a(a – 7b)(a +3b) K 2x(x + 7y)(x + 2y)

O 7(a + 2b)(a – 2b) L 2xy(2x + 5y)(2x – 5y)

R (a – 4b)(a – 5b) D 5(3x – 2y)(x – 5y)

T a(a + 21)(a – 1) T x2(x + 5y)(x + 7y)

H ab(a + b)(a – b) B x(3x – y) 2

M 3(a – 8b)(a – b) U 3x2 (5x – 2y)(x – y)

C 2(2a – 6b)(a + b) I 2x(x – 7y)(x + y)

N 3(a + 4b)(a – 2b) P x 2 (x + 5y)(x – 2y)

V ab(a + 3b)(a – 2b) E 3x2 (5x + y)(x – 2y)

S 2(2a + 3b)(a + 2b) W x (9x + y)(x – y)

10

6 11

1 11

4 8 11

11

2 12

11

4 4 7 2 9 12

5 10

7 3 2

Factor completely each polynomial. Find your answer below the exercise and notice the two letters next to it. Write these letters in the two boxes above the exercise number at the bottom of the page.

1989 Creative Publications OBJECTIVE: To factor polynomials completely (polynomials with factors of the form ax 2 + bxy + cy2)What Should You Say If You See a Tall,

Wrought Iron Tower in Paris, France?

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1 3n2 – 17n + 24 7 16a3b4 + 40a2b5 + 8ab3

2 4x3y – 49xy3 8 t4 – 37t2 + 36

3 5x2 + 20xy – 60y2 9 2a7b3 – 288ab

4 3x3 – x2y + 12x – 4y 10 35a2b – 5a – 7ab2 + b

5 2x4y – 3x3y – 20x2y 11 6a4b2 – 11a3b3 + 4a2b4

6 9x3y + 33x2y2 + 30xy3 12 t2(t+3) + 6t(t+3) + 9(t+3)

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Answers: Answers:

AD 5(x + 4y)(x + 3y) IS 2ab(a2b2 + 12)(a4b2 + 12)

AN x2y(2x + 5)(x – 4) OT (t + 3) 2 (t – 1) 2

OL 3(n – 2)(n + 4) TE 8ab3 (2a2b + 5ab2 + 1)

UI xy(2x – 7y)(2x + 7y) AT 2ab(a3b + 12)(a3b – 12)

TH 3xy(3x + 5y)(x + 2y) EY (t + 3) 3

EF 5(x + 6y)(x – 2y) EP a2b2 (2a + b)(3a – 2b)

ET (x2 + 2)(3x + 2y) YQ (t + 1)(t – 1)(t + 6)(t – 6)

SR (3n – 8)(n – 3) UL (5a – b)(7ab – 1)

FO xy(9x + 5y)(x – 7y) LS 8ab3(2ab2 + 5ab3 + 1)

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LL (x2 + 4)(3x – y) IX (5a – 2b)(7ab – 5)

NT x2y(2x + 1)(x + 10) EA a2b2 (2a – b)(3a – 4b)

6 9 1 11 4 8 2 7 5 12 3 10

Solve each equation in the top block and find the solution set in the bottom block. Transfer the word from the top box to the corresponding bottom box. Keep working and you will get a moving fact.

(x + 3)(x + 8) = 01 WHY

(x - 12)(x + 5) = 06 THAT

(x - 10)(4x - 3) = 011 ONLY

x(4x + 7) = 016 ROBBERS

(x + 4)(x + 11) = 02 THE

x(x – 9) = 07 TO

(3x + 2)(3x – 2) = 0

12 BANK

x(2x + 1)(x – 6) = 017 PLACE

(x – 5)(x – 2) = 03 IS

x(x + 14)(x – 1) = 08 THEY

(9x – 2)(5x + 1) = 0

13 BECAUSE

2x(4x – 8)(x + 1) = 018 CANADA

(x – 1)(x – 6) = 04 HAVE

(2x – 1)(x + 4) = 09 IS

(2x + 2)(7x + 6) = 0

14 ESCAPED

7x(3x + 5)(5x + 2) = 0

19 TORONTO(x + 3)(x – 7) = 0

5 ALWAYS(x – 2)(3x + 1) = 0

10 THE(2x – 5)(3x + 1) =

015 REASON

(x – 9)(x + 1)(x - 1) = 0

20 RUN

2, - 1352 , -

13

-3, -8 -1, - 67 - 23 , 23

0, - 74 -3, 7 9, -1, 1 0, 9 0, 2, -1

1989 Creative Publications OBJECTIVE: To factor polynomials completely (review of all types).

Moving Words

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5, 2 29 , -

15

12, -5 12 , -4 -4, -11

10, 34 0, - 12 , 6 0, -14, 1 1, 6 0, - 53 , - 25

Solve each equation below. Find the solution set in the answer list and notice the letter next to it. Each time the exercise number appears in the code, write this letter above it. Keep working and you will decode the title of this picture.

CODED TITLE:

___ ___ ___ ___ ___ ___ ___ ___ ___ ___ 14 12 13 13 1 6 9 11 5 5

1989 Creative Publications OBJECTIVE: To solve equations when one side is in factored form and the other side is 0.

What Is The Title of This Picture?

1 a2 + 7a + 10 = 0

2 n2 – 8n + 12 = 0

3 y2 – 49 = 0

4 x2 + 5x – 6 = 0

5 u2 – 7u – 18 = 0

6 m2 – 5m = 0

7 2t2 + 5t – 3 = 0

8 3w2 – 8w + 4 = 0

9 2x2 – 3x – 5 = 0

10 5v2 + 29v + 20 = 0

11 6n2 – 19n + 15 = 0

12 2k2 + 7k = 0

13 3b2 + b – 10 = 0

14 4y2 – 25 = 0

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( ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ) 10 11 2 14 3 8 4 8 12 7 12 2 14

N 53 , -2

D 32 ,

52

B 52 , -1

L -2, 9

R 23 , 2

I -2, -5 E 0 , - 72H 3

5 , -1S 0, 5 T 5

2 , - 52

Y -6, 1 C 2, 6

O 7, -7 F - 45 , -5J 1

2 , -3A 3

2 , 53

A B C D E F G

H I J K L M N?

Solve each equation below. Find the solution set in one of the answer columns and notice the word next to it. Write this word in a box above that contains the letter of that exercise. Keep working and you will hear about some cannibals who finally got “fed up”.

{-8,4} SOME {- 15 , 32 }

IN

{0,15} LUNCH { 13 , -5} CANNIBALS

{ 85 , 3} CHIEF A n2–10n = -21

H 2x2+10 = 9x { 15 ,- 52 }

STEW

1989 Creative Publications OBJECTIVE: To solve quadratic equations by factoring (equations in standard form).Did You Hear About …

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{7,3} THE B x2+4x = 5 I 12t+9 = 5t2 {8,-1} EDITOR

{- 35 , 3} ENDED C u2-8 = 7u J 9y2 = 16 { 45 , -6} FOOD

{0,11} WHO D m2 = 11m K 15+26d = -8d2

{0,9} EDITOR

{- 12 , 23

}

COOKED E 9a = -a2-18 L 18n = 2n2{ 52 , 2} AND

{-5,1} NEWSPAPER F h2 = 32-4h M 10v2 = 13v+3

{-6,-3} VISITED

{- 52 ,- 34 }

AS G 3y2+14y = 5

N 23p = 5p2+24 { 43 ,- 43

}

UP

1989 Creative Publications OBJECTIVE: To solve quadratic equations by factoring (equations not in standard form).

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Solve each equation below. Find the solution set at the bottom of the page and write the letter of that exercise above it.

G n3 + 8n2 + 12n = 0 H 9t2 + 2t = 5t3

A m3 – 16m = 0 G 9k3 + 30k2 = 24kD a3 + 3a2 = 10a T x4 – 13x2 + 36 = 0I u3 = 14u2 + 32u H 17v2 + 5v = -6v3

E 2d3 + 6d = 7d2 B 5w3 = 40w2 – 80w

O x4 – 10x2 + 9 = 0 N 30q3 + 14q2 – 4q = 0

A 8y3 = 2y

{ 0,

- ,

2} { 0,

,

2} { 0,

, -

}

{0, -

2, -6

}

{ 1,

-1, 3

, -3}

{ 2,

-2, 3

, -3}

{ 0,

3, -

2 }

{ 0,

4, -

4 }

{ 0,

, -

{0, 4

}

{ 0,

16,

-2}

{ 0,

, -

4} { 0,

,

5} { 0,

-

, -

}{

0,

, -

}{

0,

, -

}{0

, 2, -

5}

1989 Creative Publications OBJECTIVE: To solve polynomial equations of degree three or four by factoring.

What Happened When Zonk Blew Air Into a Rubber Glove?