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
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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)
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..-1..|...1....-1....3....-3....0 (-1 is a root. -1 is also lower bound, numbers alternate in sign)
see graph below:
(