Respuesta :

Answer: -2,3,&4

Step-by-step explanation:

Correct on edgenuity

The roots are -2, 3 and 4.

What are roots?

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

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