Can you find the roots of
So I have the following equation:
I can find the real solution of 2 by using synthetic division and finding which of the multiples of 24 ends up to have no remainder.
But, the back of the book also wants an imaginary number solution and I am lost as to how to find one. Any help would be greatly appreciated.
I wouldn't have even bothered with synthetic division. Factor theorem will work nicely.
You've established that r=2 is a root, therefore by the factor theorem, is a factor. So take this out (via factorization):
Then just complete the square or use the formula. on the quadratic for the complex solution(s).