# Algebra Examples

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

Largest Degree:

Leading Coefficient:

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by to get .

Reduce the expression by cancelling the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Reduce the expression by cancelling the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

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

Arrange the terms in ascending order.

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

is approximately which is negative so negate and remove the absolute value

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by to get .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by to get .

Add and to get .

Simplify each term.

is approximately which is positive so remove the absolute value

is approximately which is negative so negate and remove the absolute value

Add and to get .

Simplify .

Write as a fraction with denominator .

Multiply and to get .

Arrange the terms in ascending order.

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

Take the smaller bound option between and .

Smaller Bound:

Every real root on lies between and .

and