# Algebra Examples

Step 1

Check the leading coefficient of the function. This number is the coefficient of the expression with the largest degree.

Largest Degree:

Leading Coefficient:

Step 2

Create a list of the coefficients of the function except the leading coefficient of .

Step 3

Step 3.1

Arrange the terms in ascending order.

Step 3.2

The maximum value is the largest value in the arranged data set.

Step 3.3

The absolute value is the distance between a number and zero. The distance between and is .

Step 3.4

Add and .

Step 4

Step 4.1

Simplify each term.

Step 4.1.1

The absolute value is the distance between a number and zero. The distance between and is .

Step 4.1.2

The absolute value is the distance between a number and zero. The distance between and is .

Step 4.2

Add and .

Step 4.3

Arrange the terms in ascending order.

Step 4.4

The maximum value is the largest value in the arranged data set.

Step 5

Take the smaller bound option between and .

Smaller Bound:

Step 6

Every real root on lies between and .

and