The roots are -2, 3 and 4.
A solution to an equation, usually expressed as a number or an algebraic formula.
Given:
x³-5x²-2x+24
As, x+2 divides the x³-5x²-2x+24 gives quotient x²−7x+12.
Now,
x²−7x+12.
=x²− 4x -3 x+12.
=x(x-4) - 3(x-4)
=(x-4)(x-3)
Hence, the roots are -2, 3 and 4.
Learn more about roots here:
https://brainly.com/question/12029673
#SPJ2