MEDAL!
10. Which correctly describes the roots of the following cubic equation?
x^3+6x^2+11x+6
A. One real root, two complex roots
B. Two real roots, and one complex root
C. Three real roots, two of which are equal in value
D. Three real roots, each with a different value

Question

MEDAL!
10. Which correctly describes the roots of the following cubic equation? 
x^3+6x^2+11x+6
A. One real root, two complex roots
B. Two real roots, and one complex root 
C. Three real roots, two of which are equal in value
D. Three real roots, each with a different value

anonymous · Answer

we can see that -1 is a root

anonymous · Answer

(x+1)(x^2 + 5x +6) = x^3 + 6x^2 + 11x + 6

anonymous · Answer

we can also see that -2 and -3 are roots in x^2 + 5x + 6

anonymous · Answer

So there are three real roots, -1,-2,-3 which are different from each other