Which correctly describes the roots of the following cubic equation?
x^3-3x^2+4x-12=0

a)three real roots each with a different value
b)one real root and two complexroots
c)three real roots, two of which are equal in value
d) two real roots and one complex root

And con some one please explain this stuff because i have no idea what i am doing!!

Question

Which correctly describes the roots of the following cubic equation? 
x^3-3x^2+4x-12=0

a)three real roots each with a different value
b)one real root and two complexroots
c)three real roots, two of which are equal in value
d) two real roots and one complex root


And con some one please explain this stuff because i have no idea what i am doing!!

solomonzelman · Answer

Solve it, do you know how?

solomonzelman · Answer

Ok, the possible roots are going to be$${±1, ± 2, ± 3, ± 4, ± 6}$$
factors of 12.
Plug them in and tell which of them work.