Question 974915: Please help me factorize this expression :
x^3 - 23x^2 + 142x - 120
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website! 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  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
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