$\"\"$

The polynomial function is $\"\"$ .

Divide the function by $\"\"$ .

$\"\"$ .

The leading coefficient of $\"\"$ is $\"\"$ .

A bound $\"\"$ on the real zeros of $\"\"$ is the smaller of the two numbers.

$\"\"$ .

Consider $\"\"$ .

Where $\"\"$ .

Substitute the above $\"\"$ values in equation $\"\"$ .

$\"\"$

$\"\"$ .

The small of two numbers is $\"\"$ is the bound.

The real zeros of $\"\"$ is lies between $\"\"$ and $\"\"$ .

$\"\"$

The polynomial function bounds on the real zeros of $\"\"$ .