SOLUTION: Looking for help with "Theorem for bounds on zeros". find a bound on the real zeros of the polynomial function. f(x)=x^4+2x^2-3

Question 892594: Looking for help with "Theorem for bounds on zeros".
find a bound on the real zeros of the polynomial function.
f(x)=x^4+2x^2-3
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Looking for help with "Theorem for bounds on zeros".
find a bound on the real zeros of the polynomial function.
f(x)=x^4+2x^2-3
***
use Rational Roots Theorem with synthetic division
...0...|...1.....0.....2....0....-3
...1...|...1.....1.....3....3.....0 (1 is a root. 1 is also upper bound, all numbers positive)
================
..-1..|...1....-1....3....-3....0 (-1 is a root. -1 is also lower bound, numbers alternate in sign)
see graph below:

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