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

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

There will be two bound options, b1 and b2, the smaller of which is the answer. To calculate the first bound option, find the absolute value of the largest coefficient from the list of coefficients. Then add 1.

Tap for more steps…

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

To calculate the second bound option, sum the absolute values of the coefficients from the list of coefficients. If the sum is greater than 1, use that number. If not, use 1.

Tap for more steps…

Simplify each term.

Tap for more steps…

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

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

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

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Download our App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Download our
App from the store