Write the polynomial as a
product of linear factors,
x^4-5x^2-36

9514 1404 393

  (x +3)(x -3)(x +2i)(x -2i)

Step-by-step explanation:

The factoring to quadratics makes use of the fact that -36 = (-9)(4).

  x^4 -5x^2 -36

  = x^4 -9x^2 +4x^2 -36

  = x^2(x^2 -9) +4(x^2 -9)

  = (x^2 +4)(x^2 -9)

The form for factoring the difference of squares comes into play here. Of course -4 = (2i)^2.

  = (x^2 -(2i)^2)(x^2 -3^2)

  = (x -2i)(x +2i)(x -3)(x +3) . . . factored to linear terms

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068