 For example,
having 16 multiplications, 4 subtractions and 3 additions, may be factored into the much simpler expression 
with only two multiplications and three subtractions.Moreover, the factored form gives immediately the roots "x = a,b,c" of the polynomial in represented by these expressions.On the other hand, factorization is not always possible, and when it is possible, the factors are not always simpler.