f(x)=x2-x-12

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,-12

Arrange the terms in ascending order.

b1=|-1|,|-12|

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

b1=|-12|

The absolute value is the distance between a number and zero. The distance between -12 and 0 is 12.

b1=12+1

Add 12 and 1.

b1=13

b1=13

Simplify each term.

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

b2=1+|-12|

The absolute value is the distance between a number and zero. The distance between -12 and 0 is 12.

b2=1+12

b2=1+12

Add 1 and 12.

b2=13

Arrange the terms in ascending order.

b2=1,13

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

b2=13

b2=13

The bound options are the same.

Bound: 13

Every real root on f(x)=x2-x-12 lies between -13 and 13.

-13 and 13

Find the Bounds of the Zeros f(x)=x^2-x-12