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