f(x)=x2-x-30

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

Largest Degree: 2

Leading Coefficient: 1

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

-1,-30

Arrange the terms in ascending order.

b1=|-1|,|-30|

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

b1=|-30|

The absolute value is the distance between a number and zero. The distance between -30 and 0 is 30.

b1=30+1

Add 30 and 1.

b1=31

b1=31

Simplify each term.

The absolute value is the distance between a number and zero. The distance between -1 and 0 is 1.

b2=1+|-30|

The absolute value is the distance between a number and zero. The distance between -30 and 0 is 30.

b2=1+30

b2=1+30

Add 1 and 30.

b2=31

Arrange the terms in ascending order.

b2=1,31

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

b2=31

b2=31

The bound options are the same.

Bound: 31

Every real root on f(x)=x2-x-30 lies between -31 and 31.

-31 and 31

Find the Bounds of the Zeros f(x)=x^2-x-30