Acubic equation has factors of (x + 2)(x2 + 7x + 10). determine all of the real roots. which one is a double root?

a) x = 2 and x = 5; 2
b) x = -2 and x = 5; -2
c) x = 2 and x = -5; -5
d) x = -2 and x = -5; -2

D

Step-by-step explanation:

To determine the roots equate the factors to zero, that is

(x + 2)(x² + 7x + 10) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x² + 7x + 10 = 0

(x + 2)(x + 5) = 0

x + 2 = 0 ⇒ x = - 2

x + 5 = 0 ⇒ x = - 5

roots are x = - 5 and x = - 2 with multiplicity 2

the answer is a

step-by-step explanation:

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above