Which polynomial is prime?
a. 7x^2 – 35x + 2x – 10
b. 9x^3 + 11x^2 + 3x – 33
c. 10x^3 – 15x^2 + 8x – 12
d. 12x^4 + 42x^2 + 4x^2 + 14

Step-by-step explanation:

A polynomial is prime if it can't be factored in polynomials of lower degree. Let's factorize:

A.

In this case we have 4 terms, so we can use Grouping:

Part a:

We're going to use Greatest common factor:

Part b:

In this part we also use greatest common factor:

Then,

This polynomial is not prime.

B.

This polynomial cannot be factorized then it's prime.

C.

In this polynomial we can use grouping too:

Part a:

Part b:

Then,

This polynomial isn't prime.

D.

First we're going to use Greatest common factor:

Now we're going to apply grouping on the terms inside of the parenthesis:

Part a:

Part b:

Then,

Remember that at the beginning we use Greatest common factor:

This polynomial isn't prime.

b

step-by-step explanation:

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