For what values of a and b are x+1 and x+2 factors of x^3 - ax^2 - bx - 8? Write down the other factor.
for (x+1) and (x+2) be a factor of given polynomialp(x) , they must be its roots. and
hence according to remainder theorem p(-1) and p(-2) must be 0,
solving these 2 simentanous equation.
so b= 10 and a is 1
and polynomial becomes x^3-x^2-10x-8=0
since product of roots is 8(-d/a) and 2 roots are -1 and -2 last root must be 4 so factor is (x-4)
you could also go for long division.!!!