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 4 and the constant term is 6.

 

The factors of 4 are .

The factors of 6 are .

 

So the possible rational roots are .

 

Let's start testing these possible roots. Try .

Substituting into the equation:

Click "Show Answer" to reveal the answer and analysis