Correct answer only ! factor the polynomial function over the complex numbers.

(x + 1)(x - 2)(x + i√2)(x - i√2)

Step-by-step explanation:

f(x) = x⁴ - x³ - 2x - 4

possible rational roots: +/- 1, 2, 4

Use Synthetic Division to find two of the roots (so you are left with a quadratic polynomial)

-1  |   1     -1     0     -2     -4

   |   ↓     -1     2     -2      4

       1      -2    2     -4     0 → remainder is 0 so x = -1 is a root

                                        ⇒ (x + 1) is a factor

Now find another root using the decomposed polynomial:

2  |   1     -2     2     -4    

   |   ↓     2      0     4

       1      0     2     0 →remainder is 0 so x = 2 is a root

                               ⇒ (x - 2) is a factor

Now factor the decomposed polynomial:

      x² + 0x + 2

=    x² -  (-2)

=     +/-

=    (x + i√2)(x - i√2)

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

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.