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 1 and the constant term is 14.

 

The factors of 1 are .

The factors of 14 are .

 

So the possible rational roots are .

 

Let's start testing these possible roots. Try .

Substituting into the equation:

=1 - 8 + 5 + 14

=-7 + 5 + 14

=-2 + 14

So is not a root.

 

Try .

Substituting into the equation:

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