SOLUTION: Find a bound on the real zeros of the polynomial function f(x)=x^4+x^3-4x-6 Every real zero of f lies between ______ and______.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find a bound on the real zeros of the polynomial function f(x)=x^4+x^3-4x-6 Every real zero of f lies between ______ and______.       Log On


   

Question 756607: Find a bound on the real zeros of the polynomial function f(x)=x^4+x^3-4x-6
Every real zero of f lies between ______ and______.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find a bound on the real zeros of the polynomial function:
f(x)=x^4+x^3-4x-6
using Rational Roots Theorem:
....0...|....1......1......0....-4....-6..
....1...|....1......2......2....-2....-8..
....2...|....1......3......6..... 8....10(change in sign, root between 1 and 2) (all numbers positive, 2 is upper boundary)
===================
....0...|....1......1......0....-4....-6..
..-1...|....1......0......0....-4....-2..
..-2...|....1....-1......2....-8....10..(change in sign, root between -1 and -2) (numbers alternate in sign, -2 is lower boundary)