Algebra-2

According to the Rational Root Theorem, if a polynomial equation has a rational root , then is a factor of the constant term and is a factor of the leading coefficient.

For the equation , the leading coefficient is 2 and the constant term is -24.

The factors of 2 are .

The factors of -24 are .

So the possible rational roots are .

Let's start testing these possible roots. Try .

Substituting into the equation:

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