[PDF] [PDF] Practice Multiplying Polynomials

[PDF] Practice Multiplying Polynomials

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8-3 Skills Practice Multiplying Polynomials Find each product 1 (m + 4)(m + 1) 2 (x + 2)(x + 2) 3 (b + 3)(b + 4) 4 (t + 4)(t – 3) 5 (r + 1)(r – 2) 6 (n – 5)(n + 1) 7 (3c + 1)(c – 2) 8 (2x – 6)(x + 3) 9 (d – 1)(5d – 4) 10 (2? + 5)(? – 4) 11 (3n – 7)(n + 3) 12 (q + 5)(5q – 1) 13 (3b + 3)(3b – 2) 14

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Multiplying polynomials and special products Section 8 2 – Multiplying polynomials Find the product 1 2x (6x2 – 3x – 1) 2 4–5a3(4a – 3a + 1) 3 4d2(–2d3 + 5d2 – 6d + 2) 4 (3x + 1)(2x – 5) 5 (2y + 3)(y – 5) 6 (6a – 3)(4a – 1) 7 (b – 8)(5b – 2) 8 (8m + 7)(2m + 3) 9 (–p + 2)(3p2 + 1) 10 (2z – 7)(–z + 3) 11

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Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Compan ies, Inc.

NAME DATE PERIOD

Lesson 8-3

Chapter 8 21 Glencoe Algebra 1

Practice

Multiplying Polynomials

Find each product.

1. (q + 6)(q + 5) 2. (x + 7)(x + 4)

q 2 + 11q + 30 x2 + 11x + 28

3. (n - 4)(n - 6) 4. (a + 5)(a - 6)

n 2 - 10n + 24 a 2 - a - 30

5. (4b + 6)(b - 4) 6. (2x - 9)(2x + 4)

4b 2 - 10b - 24 4x 2 - 10x - 36

7. (6a - 3)(7

a - 4) 8. (2x - 2)(5x - 4) 42a 2 - 45a + 12 10x 2 - 18x + 8

9. (3a - b)(2a - b) 10. (4g + 3h)(2g + 3h)

6a 2 - 5ab + b 2 8g 2 + 18gh + 9h 2

11. (m + 5)(m

2 + 4 m - 8) 12. (t + 3)(t2 + 4t + 7) m 3 + 9m 2 + 12m - 40 t 3 + 7t 2 + 19t + 21

13. (2h + 3)(2h

2 + 3h + 4) 14. (3d + 3)(2d 2 + 5d - 2) 4h 3 + 12h 2 + 17h + 12 6d3 + 21d 2 + 9d - 6

15. (3q + 2)(9q

2 - 12q + 4) 16. (3r + 2)(9r 2 + 6r + 4) 27
q 3 - 18q 2 - 12q + 8 27r 3 + 36r 2 + 24r + 8

17. (3n

2 + 2n - 1)(2n 2 + n + 9) 18. (2 t2 + t + 3)(4t 2 + 2t - 2) 6n 4 + 7n 3 + 27n 2 + 17n - 9 8t 4 + 8t 3 + 10t 2 + 4t - 6

19. (2x

2 - 2x - 3)(2x 2 - 4x + 3) 20. (3y 2 + 2y + 2)(3y 2 - 4y - 5) 4x 4 - 12x 3 + 8x 2 + 6x - 9 9y 4 - 6y 3 - 17y 2 - 18y - 10 GEOMETRY Write an expression to represent the area of each figure. 21.
4 x

22x - 2

22.
3 x

25x - 4

x 1 23.
NUMBER THEORY Let x be an even integer. What is the product of the next two consecutive even integers? 24.
GEOMETRY The volume of a rectangular pyramid is one third the product of the area of its base and its height. Find an expression for the volume of a rectangular pyramid whose base has an area of 3 x 2 + 12x + 9 square feet and whose height is x + 3 feet. x 3 + 7x 2 + 15x + 9 ft 3 8-3 4 x 2 - 2x - 2 units 2 4 x 2 + 3x - 1 units 2 x 2 + 6x + 8quotesdbs_dbs5.pdfusesText_10