#"First apply the rational roots theorem in search for rational"#
#"roots. Here we can only have divisors of 10 as rational roots :"#
#pm 1, pm 2, pm 5, " or "pm 10#
#"So there are only 8 possibilities to check."#
#"We see that 2 is the root we search for."#
#"If 2 is a root, (x-2) is a factor and we divide it away :"#
#x^3 - 13 x^2 + 17 x + 10 = (x-2)(x^2-11 x-5)#
#"So the remaining two zeros are the zeros of the remaining"#
#"quadratic equation :"#
#x^2 - 11 x - 5 = 0#
#"disc : "11^2 + 4*5 = 141#
#x = (11 pm sqrt(141))/2#
#= -0.43717 " or "11.43717#
#"So we have 3 real roots or zeros and they are : "#
#-0.43717, 2, " and "11.43717#
