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

Largest Degree:

Leading Coefficient:

Cancel the common factor of .

Cancel the common factor.

Divide by .

Cancel the common factor of and .

Factor out of .

Move the negative one from the denominator of .

Rewrite as .

Multiply by .

Move the negative in front of the fraction.

Divide by .

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.

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

Add and .

Simplify each term.

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

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

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

Find the common denominator.

Write as a fraction with denominator .

Multiply by .

Multiply and .

Write as a fraction with denominator .

Multiply by .

Multiply and .

Combine fractions.

Combine fractions with similar denominators.

Multiply.

Multiply by .

Multiply by .

Simplify the numerator.

Add and .

Add and .

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

Find the Bounds of the Zeros f(x)=-15x^3+30x^2+17x-45