Rational Root Theorem:
If the rational number
is a zero of a higher degree polynomial:

where all the coefficients are integers. Then
will be a factor of
and
will be a factor of

1. Use the rational root theorem to enumerate all possible rational zeroes of the polynomial

2. Evaluate the polynomial from the first step until you can find a zero. Let’s suppose the zero is
. It will be a zero if
. Then if this is true, write the polynomial as:

3. Repeat this process using
this time rather than
. The process finishes until we reach a second degree polynomial, then solve as it is widely known for a quadratic equation.