Please help me answer both of these questions. Thank you
1a) Find the real and complex roots of:Originally Posted by norivea
This has three roots, one real corresponding to the first factor; so is a root.
The other two roots are the roots of the second factor , these may
be found using the quadratic formula, which gives in this case:
1b) Find the real and complex roots of:Originally Posted by norivea
given that is a root.
A cubic with real coefficients always has at least one real root, and
complex roots occur in conjugate pairs. So both and
are roots. Also:
where is real, and so easily found to be ,
so the remaining root is .