<PRE><B>Question 193519</B>
x^3+2x^2-13x+10
factor  is  1st  or  last  terms  might  be ,,,(p/q),,,,+/-(1/1,10/1,2/1,5/1)
using  synthetic division  (pls  ignore  commas,,  used  for  spacing)
1|  1,,,,,,+2,,,,,,-13,,,,,,10
,,,,,,,,,,,,,,,1,,,,,,,,,,,3,,,,,-10
___________________________
,,,,,,1,,,,,,,3,,,,,,,,-10,,,,,,0,,,,,,,,(no  remainder,therefore  x=1  is  zero,(x-1)  is  factor)

quotient  is  1x^2+3x-10
factoring,,,(x+5)(x-2)
therefore  total  factors  are
(x-1)(x+5)(x-2)

check  by  distributing
(x+5) (x-2)(x-1)
(x+5) (x^2-3x+2)
x^3-3x^2+2x+5x^2-15x+10
x^3 +2x^2-13x +10 ,,,,ok</PRE>