w(x)=x3+216

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

Largest Degree: 3

Leading Coefficient: 1

Create a list of the coefficients of the function except the leading coefficient of 1.

216

Arrange the terms in ascending order.

b1=|216|

The absolute value is the distance between a number and zero. The distance between 0 and 216 is 216.

b1=216+1

Add 216 and 1.

b1=217

b1=217

The absolute value is the distance between a number and zero. The distance between 0 and 216 is 216.

b2=216

Arrange the terms in ascending order.

b2=1,216

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

b2=216

b2=216

Take the smaller bound option between b1=217 and b2=216.

Smaller Bound: 216

Every real root on w(x)=x3+216 lies between -216 and 216.

-216 and 216

Find the Bounds of the Zeros w(x)=x^3+216