Question 974915
Several possible roots to check:  PLUS and MINUS of 1,2,3,4,5,10,12,20,30,40,60


Trying the first several minus values using synthetic division did not give nonzero remainders; but checking 1 as possible root, the PLUS, gave a remainder 0, and quotient coefficients 1,-22,120.


Now just use quadratic formula solution for {{{x^2-22x+120=0}}}  to find two more roots or zeros.  Doing so gives roots x=10 and x=12.  This step not shown here because using the formula is uncomplicated to do.


The binomial factors for the expression used for writing the product is
{{{highlight((x-1)(x-10)(x-12))}}}.