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NAME _______________
Introductory Algebra – Homework 17
Sections 7.1 and 7.2
Directions: Show all work and write your final answer in the space provided.
1.
Subtract: (8x 2  7x  5)  (3x 2  4x  9)
2.
3
Simplify:  
4
3.
Multiply: -3x(4x2 – 5x + 7)
3. _______________
4.
Simplify: (–2x3)4
4. _______________
5.
Multiply: (3x – 5)(2x + 9)
5. _______________
6.
Simplify: (4x 3  7x  9)  (3x 2  2x  3)  (3x 3  4x 2  6x)
6. _______________
7.
Multiply: (3x – 7)(5x + 1)
7. _______________
8.
Simplify: (7x2)(–5x3)
8. _______________
9.
Simplify: (3x3)(–2x4)((5x6)
9. _______________
10. Multiply: (2x – 5)(3x2 – 2x + 4)
10. _______________
11. Simplify: (–3x4)3
11. _______________
12. Simplify: (4x 2  3x  2)  (3x  5x 2  2)  (6x 2  3x  2)
12. _______________
1. _______________
3
2. _______________
13. Multiply: (x – 3)(2x – 1)
13. _______________
14. Simplify: (4x3)(5x2)(–2x4)
14. _______________
15. Multiply: (4x – 3)(2x – 9)
15. _______________
16. Multiply: (4x – 3)(2x2 + 3x + 7)
16. _______________
17. Simplify: (–4x4)(3x2)(–x7)
17. _______________
18. Simplify: (–5x2)2(3x4)
18. _______________
19. Subtract 9x2 – 6x + 5 from 3x2 – 2.
19. _______________
20. Simplify: (3x2)3(–4x5)
20. _______________
21. Multiply: (4x + 5)(16x2 – 20x + 25)
21. _______________
22. Simplify: (9x 3  4x 2  3x  2)  (2x 3  3x 2  x)  (8x 3  6x  4)
22. _______________
23. Multiply: (3x2 – 4x + 2)(x2 + 3x + 2)
23. _______________
24. Find the difference when 9x4 + 3x2 + 5 is subtracted from 8x4 – 2x3 + x – 1.
24. _______________
 1  1 
25. Simplify:   x 3   x 5 
 4  3 
25. _______________
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