P(x)=3-0.7x

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

Largest Degree: 1

Leading Coefficient: -0.7

Divide 3 by -0.7.

P(x)=-4.285714‾+-0.7x-0.7

Cancel the common factor of -0.7.

Cancel the common factor.

P(x)=-4.285714‾+-0.7x-0.7

Divide x by 1.

P(x)=-4.285714‾+x

P(x)=-4.285714‾+x

P(x)=-4.285714‾+x

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

-4.285714‾

Arrange the terms in ascending order.

b1=|-4.285714‾|

The absolute value is the distance between a number and zero. The distance between -4.285714‾ and 0 is 4.285714‾.

b1=4.285714‾+1

Add 4.285714‾ and 1.

b1=5.285714‾

b1=5.285714‾

The absolute value is the distance between a number and zero. The distance between -4.285714‾ and 0 is 4.285714‾.

b2=4.285714‾

Arrange the terms in ascending order.

b2=1,4.285714‾

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

b2=4.285714‾

b2=4.285714‾

Take the smaller bound option between b1=5.285714‾ and b2=4.285714‾.

Smaller Bound: 4.285714‾

Every real root on P(x)=3-0.7x lies between -4.285714‾ and 4.285714‾.

-4.285714‾ and 4.285714‾

Find the Bounds of the Zeros P(x)=3-0.7x