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

nothjing

step-by-step explanation: