How do you find all the zeros of #x^5-2x^4-4x^3-10x^2-21x-12#?
The polynomial has constant coefficient
Trying the sequence of
then at last we have found two roots ( keep in mind that some of this roots can be multiple). So we can write
Taking the coefficients equal to zero we have
Focusing now in the roots of
and having in mind the ideas about the composition of the constant term we find that
proceeding as before we find