Question

If (x-a) is a factor of (x^3- 5x^2- 2x+ 24), what number could be a?

Answer 1

find the root of x^3- 5x^2- 2x+ 24

Answer 2

find the roots of this equation.all the roots found can be a

Answer 3

x^3- 5x^2- 2x+ 24=(x+2)(x-3)(x-4)
x^3- 5x^2- 2x+ 24=(x-a)g(x) +r --->r=0
so
a= -2, or +3, or+4