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Practice (continued) Form K Multiplying and Factoring 28 You are painting a rectangular wall with length 5x2 ft and width 12x ft There is a rectangular door 



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Practice (continued) Form K Multiplying and Factoring 28 You are painting a rectangular wall with length 5x2 ft and width 12x ft There is a rectangular door 



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Name Class Date

Prentice Hall Foundations Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 15 8-2

Practice Form K

Multiplying and Factoring

Simplify each product.

1. 3w(w12) 2. (z15)2z 3. 3m

2 (41m)

4. 2p(p

2

26p11) 5. 2y(5y

3 23y
2

12y) 6. 3a(23a

2

12a27)

7. 6x 3 (3x 2

2x110) 8. 24h(2h

3 28h
2

12h) 9. 4n(n

2

15n16)

Find the GCF of the terms of each polynomial.

10. 16q132 11. 4t

3

224t 12. 32y224

13. x 3 13x 2

15x 14. 5d

3

120d235 15. 2m

3 110m
2 112m

16. 7g

4 121g
3 214g
2

17. 15z

3 13z 2

227z 18. 33w

7 155w
5 222w
3

Factor each polynomial.

19. 9t23 20. 12j

3

128 21. 72x

2 263x

22. 12k

3 29k
2

16 23. 30n

3 118n
2

154n 24. 32z

4 280z
3 1112z
2

25. 12n

4 116n
3 120n
2

26. 24y

6 136y
4 142y
2

27. 7q

5 121q
3 249q
164t8
x 52m
7g 23z
11w 3

3(3t21)4(3j

3

17)9x(8x27)

3(4k 3 23k
2

12)6n(5n

2

13n19)16z

2 (2z 2

25z17)

4n 2 (3n 2

14n15)6y

2 (4y 4 16y 2

17) 7q(q

4 13q 2 27)3w
2 16w2z 2

110z12m

2 13m 3 2p 3 212p
2

12p25y

4 13y 3 22y
2 29a
3 16a 2 221a
18x 5 26x
4 160x
3 4h 4 132h
3 28h
2 4n 3 120n
2 124n

Name Class Date

Prentice Hall Foundations Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 16 8-2

Practice (continued) Form K

Multiplying and Factoring

28. You are painting a rectangular wall with length 5x

2 ft and width 12x ft. ? ere is a rectangular door that measures x ft by 2x ft that will not be painted. What is the area of the wall that is to be painted? Write your answer in factored form.

Simplify. Write in standard form.

29. 23m(2m

2

25m110) 30. 25t

2 (26t 3

112t) 31. 10x(24x

2 1x23)

32. 22v(3v

3 26v
2

12v) 33. 5y(y12)2y(y23) 34. 22b

2 (24b 2 13b)

Factor each polynomial.

35. 13cd

3 139c
2 d 2

36. 5x

3 y 4 225xy
2

37. 42m

5 n128m 4

38. 36f g

2 154f
2 g 4

39. 8s

8 t 4 120s
4 t 3

40. 12a

2 b 5 1156a
2 b 3

41. Open-Ended Write a quadratic monomial and a cubic trinomial. ? en ? nd

their product and write it in standard form.

42. A rectangle has a length of 6x

3 y 2

21 and a width of 3xy12. ? e formula for

the perimeter of a rectangle is P52l12w, where l is the length and w is the width. What is the perimeter of the rectangle? Simplify your answer. 2x 2 (30x21) 26m
3 115m
2

230m30t

5 260t
3 240x
3 110x
2 230x
26v
4 112v
3 24v
2 4y 2

113y8b

4 26b
3 13cd 2 (d13c)5xy 2 (x 2 y 2

25)14m

4 (3mn12) 18fg 2 (213fg 2 )4s 4 t 3 (2s 4 t15)12a 2 b 3 (b 2 113)
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