Identify all of the roots of the function.

f(x) = x3 – 5x2 – 2x + 24

–2

–3

2

3

4

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The integer roots of the polynomial function can be only among the divisors of free term.

The divisors of free term are:

Check them:

1. , 1 is not a root.

2. , -1 is not a root.

3. , 2 is not a root.

4. , -2 is a root.

5. , 3 is  a root.

6.  , -3 is not a root.

7. , 4 is  a root.

The cubic function has at most 3 roots, then

roots of the function are -2, 3 and 4.

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step-by-step explanation:

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