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Adding,Subtracting,and Multiplying Polynomials

Multiply . Write your final answer with the terms in
descending
order, from highest to lowest degree.

1. (x − 5)(x + 8)

2. (x + 2)(x +10)

3. (x −1)(x − 3)

4. (x + 9)(x − 2)

5. (x + 3)(x +12)

6. (x −15)(x +10)

7. (x + 4)(x − 20)

8. (x − 7)(x − 8)

9. (x − 4)(x + 4)

10. (x + 9)(x − 9)

11. (x − 7)(x − 7)

12. (x + 6)(x + 6)

13. (2x −1)(x + 3)

14. (x − 4)(3x − 2)

15. (5x +1)(4x + 7)

16. (3x +1)(2x − 5)

17. (3x − 2)(x − 4)

18. (6x +1)(3x + 4)

19. (x2 − 5)(x2 + 7)

20. (3x2 + 4)(2x2 +1)

21. (7x4 − 2x3 )(5x2 − x3 )

22. (2x5 + x2 )(5 − 3x4 )

Perform the indicated operations . Write your final
answer with the terms in descending order , from
highest to lowest degree .

23.
(a) −5x + 2x
(b) −5x − 2x
(c) −5x(2x)

24.
(a) 7x3 − 4x3
(b) 7x3 − (−4x3 )
(c) 7x3 (−4x3 )

25.
(a) 2x3 − (5x4 + 6x3 )
(b) 2x3 − 5(x4 + 6x3 )
(c) 2x3 (−5x4 )(6x3 )

26.
(a) −5x7 − x4 − 3x4
(b) −5(x7 − x4 )− 3x4
(c) −5x7 (−x4 )− 3x4

27.
(a) −3x2 (2x − 9x3 )
(b) −3x2 − (2x − 9x3 )
(c) −3x2 (2x) − 9x3

28.
(a) 7x(5x − x3 )
(b) 7x + 5(x − x3 )
(c) 7x(−5x)(−x3 )

29.
(a) (10x2 + 5x)(−7x2 )
(b) (10x2 + 5x) − 7x2
(c) (10x2 )(5x)(−7x2 )

30.
(a) 8x3 − (−2x − 5)
(b) −8x3 (−2x − 5)
(c) −8(x3 − 2x)− 5

31.
(a) (x + 3)+(x + 7)
(b) (x + 3) − (x + 7)
(c) (x + 3)(x + 7)

32.
(a) x − 2(x + 8)
(b) (x − 2) − (x + 8)
(c) (x − 2)(x + 8)

33.
(a) x2 + 3x − 2x − 7
(b) x2 + 3x − (2x − 7)
(c) (x2 + 3x)(2x − 7)

34.
(a) 6x2 + 2x3 + 7x3 − x2
(b) 6x2 + 2x3 − (7x3 − x2 )
(c) (6x2 + 2x3 )(7x3 − x2 )

35.
(a) 5x − (x2 − 5x + 4)
(b) 5x − x2 − 5(x + 4)
(c) 5x(x2 − 5x + 4)

36.
(a) −7x2 − 2x2 (4x − 9)
(b) −7x2 − (2x2 + 4x − 9)
(c) −7x2 (2x2 + 4x − 9)

37.
(a) 2x + 3 + x2 − 4x −12
(b) 2x + 3 − (x2 − 4x −12)
(c) (2x + 3)(x2 − 4x −12)

38.
(a) 3x −1− (4x2 + 2x − 6)
(b) 3x −1(4x2 + 2x − 6)
(c) (3x −1)(4x2 + 2x − 6)

39.
(a) (2x3 − 5x) − (x2 + 8x)+ 2x3
(b) (2x3 − 5x − x2 )8x + 2x3
(c) (2x3 − 5x)(x2 + 8x + 2)

40.
(a) 5x − 3x4 − (4x3 − 2x2 + 3)
(b) 5x − 3x4 (4x3 − 2x2 + 3)
(c) (5x − 3x4 )(4x3 − 2x2 + 3)

41.
(a) (3x2 + 2x −1)+ (2x2 − 5x + 3)
(b) (3x2 + 2x −1)− (2x2 − 5x + 3)
(c) (3x2 + 2x −1)(2x2 − 5x + 3)

42.
(a) (5x2 − 7x + 2)+ (x2 + 4x − 3)
(b) (5x2 − 7x + 2)− (x2 + 4x − 3)
(c) (5x2 − 7x + 2)(x2 + 4x − 3)

43.
(a) (−2x4 + 5x3 − 3x)+ (x5 + 2x3 − x)
(b) (−2x4 + 5x3 − 3x)− (x5 + 2x3 − x)
(c) (−2x4 + 5x3 − 3x)(x5 + 2x3 − x)

44.
(a) x7 − 4x4 + 2x + 6x5 − 3x4 − 5x
(b) (x7 − 4x4 + 2x)− (6x5 − 3x4 − 5x)
(c) (x7 − 4x4 + 2x)(6x5 − 3x4 − 5x)

45.
(a) 4 + 2x − 3x3 + 5 − 4x2 + x3
(b) (4 + 2x − 3x3 )− (5 − 4x2 + x3 )
(c) (4 + 2x − 3x3 )(5 − 4x2 + x3 )

46.
(a) (5x − 2x2 + 8x4 )+ (2 + x − 4x3 )
(b) (5x − 2x2 + 8x4 )− (2 + x − 4x3 )
(c) (5x − 2x2 + 8x4 )(2 + x − 4x3 )

47.
(a) (x −1) + (x + 7)2
(b) (x −1) − (x + 7)2
(c) (x −1)(x + 7)2

48.
(a) (x + 2) + (x − 3)2
(b) (x + 2) − (x − 3)2
(c) (x + 2)(x − 3)2

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