$\"\"$

\

The equation is $\"\"$ .

\

Consider $\"\"$ .

\

Rational zeros method:

\

Rational Root Theorem, if a rational number in simplest form $\"\"$ is a root of the polynomial equation $\"\"$ , then $\"\"$ is a factor of $\"\"$ and $\"\"$ is a factor if_{$\"\"$ .}

\

If $\"\"$ is a rational zero, then $\"\"$ is a factor of $\"\"$ and $\"\"$ is a factor of $\"\"$ .

\

The possible values of $\"\"$ are $\"\"$ .

\

The possible values for $\"\"$ are $\"\"$ .

\

So, $\"\"$ .

\

$\"\"$ .

\

Since $\"\"$ , $\"\"$ is not a zero of $\"\"$ .

\

Consider $\"\"$ .

\

Using synthetic division:

\

$\"\"$

\

Since $\"\"$ , $\"\"$ is a zero of $\"\"$ .

\

$\"\"$ is a factor of $\"\"$ .

\

The depressed polynomial is $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

Consider $\"\"$ .

\

Find the zeros using factorization.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Apply zero product property.

\

$\"\"$ and $\"\"$

\

$\"\"$ and $\"\"$

\

$\"\"$ and $\"\"$ .

\

$\"\"$ .

\

The real solutions of $\"\"$ are $\"\"$ .

\

$\"\"$

\

$\"\"$ .