Question

4x^3 -5x^2-23x+6 what is the distance to the nearest hundredth of a unit , between the two zeros that are closest to each other?

Answer 1

2.25

Explanation:

Using synthetic divison (work below)

I found factored it to equal the following:

(x+2)(x-.25)(x-3)

which means that the zeroes are

(-2,0) (.25,0) (3,0)

The distance between the first and second zero are closest and their distance is 2.25